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Gusein-Zade, Sabir M.

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Author ID: gusein-zade.sabir-m Recent zbMATH articles by "Gusein-Zade, Sabir M."
Published as: Gusein-Zade, S. M.; Gusein-Zade, Sabir M.; Gusejn-Zade, S. M.; Guseĭn-Zade, S. M.; Gusein-Zade, S.; Gusein-Zade, Sabir
Homepage: http://www.mccme.ru/~sabir/
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 149 Publications since 1966, including 6 Books
all top 5

Serials

18 Functional Analysis and its Applications
10 Russian Mathematical Surveys
8 Moscow Mathematical Journal
5 Proceedings of the Steklov Institute of Mathematics
4 Bulletin of the London Mathematical Society
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Mathematische Zeitschrift
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 International Journal of Mathematics
3 Journal of Mathematical Sciences (New York)
3 Revista Matemática Complutense
3 Journal of Singularities
2 Mathematical Notes
2 Teoriya Veroyatnosteĭ i eë Primeneniya
2 Journal of Geometry and Physics
2 Commentarii Mathematici Helvetici
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Mathematical Research Letters
2 Monographs in Mathematics
2 Azerbaijan Journal of Mathematics
2 Modern Birkhäuser Classics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Matematicheskie Zametki
1 Arkiv för Matematik
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematics of the USSR. Izvestiya
1 Michigan Mathematical Journal
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Topology and its Applications
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 European Mathematical Society Newsletter
1 Doklady Mathematics
1 Advances in Theoretical and Mathematical Physics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Algebra and its Applications
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Pure and Applied Mathematics Quarterly
1 Functional Analysis and Other Mathematics
1 TWMS Journal of Pure and Applied Mathematics
1 Arnold Mathematical Journal
1 European Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 956 times in 663 Documents Cited by Year
Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi. Reprint of the 1988 hardback edition. Zbl 1297.32001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
147
2012
Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol’d. Reprint of the 1985 hardback edition. Zbl 1290.58001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
142
2012
Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. Zbl 0554.58001
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
69
1985
Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Zbl 0659.58002
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
45
1988
Intersection matrices for certain singularities of functions of two variables. Zbl 0304.14009
Gusein-Zade, S. M.
35
1974
The monodromy groups of isolated singularities of hypersurfaces. Zbl 0379.32013
Gusein-Zade, S. M.
34
1977
The Alexander polynomial of a plane curve singularity via the ring of functions on it. Zbl 1028.32013
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
33
2003
A power structure over the Grothendieck ring of varieties. Zbl 1063.14026
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
29
2004
Poincaré series of a rational surface singularity. Zbl 1060.14054
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
21
2004
Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points. Zbl 1122.14003
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
18
2006
The Alexander polynomial of a plane curve singularity and integrals with respect to the Euler characteristic. Zbl 1056.14035
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
15
2003
On indices of 1-forms on determinantal singularities. Zbl 1202.32023
Gusein-Zade, S. M.; Ebeling, W.
14
2009
Multi-index filtrations and generalized Poincaré series. Zbl 1111.14020
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
14
2007
Poincaré series for several plane divisorial valuations. Zbl 1083.14502
Delgado, F.; Gusein-Zade, S. M.
13
2003
On generators of the semigroup of a plane curve singularity. Zbl 0974.14020
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
13
1999
Dynkin diagrams for singularities of functions of two variables. Zbl 0309.14006
Gusejn-Zade, S. M.
12
1974
Universal abelian covers of rational surface singularities and multi-index filtrations. Zbl 1156.14317
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
12
2008
Partial resolutions and the zeta-function of a singularity. Zbl 0901.32024
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
12
1997
Radial index and Euler obstruction of a 1-form on a singular variety. Zbl 1110.14004
Ebeling, W.; Gusein-Zade, S. M.
11
2005
Zeta functions for germs of meromorphic functions, and Newton diagrams. Zbl 0933.32003
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
11
1998
Homological index for 1-forms and a Milnor number for isolated singularities. Zbl 1065.14003
Ebeling, W.; Gusein-Zade, S. M.; Seade, J.
10
2004
Indices of 1-forms on an isolated complete intersection singularity. Zbl 1039.32033
Ebeling, W.; Gusein-Zade, S. M.
10
2003
On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions. Zbl 0967.14017
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
10
1999
Saito duality between Burnside rings for invertible polynomials. Zbl 1298.32017
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
9
2012
On the index of a vector field at an isolated singularity. Zbl 0942.57024
Ebeling, W.; Gusein-Zade, S. M.
8
1999
Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity. Zbl 1046.32007
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
8
2000
Equivariant Poincaré series of filtrations. Zbl 1276.14005
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
7
2013
Integration with respect to the Euler characteristic and its applications. Zbl 1228.14005
Gusein-Zade, S. M.
6
2010
On the power structure over the Grothendieck ring of varieties and its applications. Zbl 1222.14007
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
6
2007
Singularities of differentiable mappings. Classification of critical points, caustics and wave fronts. (Osobennosti differentsiruemykh otobrazhenij. Klassifikatsiya kriticheskikh tochek, kaustik i volnovykh frontov). Zbl 0513.58001
Arnol’d, V. I.; Varchenko, A. N.; Gusejn-Zade, S. M.
6
1982
Singularities of differentiable mappings. Monodromy and asymptotics of integrals. (Osobennosti differentsiruemykh otobrazhenij. Monodromiya i asimptotiki integralov). Zbl 0545.58001
Arnol’d, V. I.; Varchenko, A. N.; Gusejn-Zade, S. M.
6
1984
The Alexander polynomial of plane curve singularities and rings of functions on curves. Zbl 0976.32017
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
6
1999
Verlinde algebras and the intersection form on vanishing cycles. Zbl 0911.32044
Gusein-Zade, S. M.; Varchenko, A.
6
1997
On Poincaré series of filtrations on equivariant functions of two variables. Zbl 1131.14007
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
6
2007
Indices of vector fields and 1-forms on singular varieties. Zbl 1124.32012
Ebeling, W.; Gusein-Zade, S. M.
6
2006
The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors. Zbl 1203.14031
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
5
2010
The problem of choice and the optimal stopping rule for a sequence of independent trails. Zbl 0203.20405
Gusejn-Zade, S. M.
5
1966
An equivariant Poincaré series of filtrations and monodromy zeta functions. Zbl 1327.14019
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
5
2015
Poincaré series of collections of plane valuations. Zbl 1213.32013
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.; Hernando, F.
4
2010
On the pre-\(\lambda \)-ring structure on the Grothendieck ring of stacks and the power structures over it. Zbl 1272.14006
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
4
2013
Orbifold Euler characteristics for dual invertible polynomials. Zbl 1319.14046
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
4
2012
Poincaré series of curves on rational surface singularities. Zbl 1075.14024
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
4
2005
An equivariant version of the monodromy zeta function. Zbl 1156.32016
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
4
2008
Indices of vector fields or 1-forms and characteristic numbers. Zbl 1086.32025
Ebeling, W.; Gusein-Zade, S. M.
4
2005
Topology of meromorphic germs and its applications. Zbl 0972.32022
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
4
2000
Singularities of type \(A_k\) on plane curves of a chosen degree. Zbl 0980.32008
Gusein-Zade, S. M.; Nekhoroshev, N. N.
4
2000
Bifurcations and topology of meromorphic germs. Zbl 0991.32019
Gusein-Zade, Sabir; Luengo, Ignacio; Hernández, Alejandro Melle
4
2001
Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial. Zbl 1030.32021
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
4
2002
Equivariant analogues of the Euler characteristic and Macdonald type equations. Zbl 1376.57039
Gusein-Zade, S. M.
4
2017
On a game connected with a Wiener process. Zbl 0191.49702
Gusein-Zade, S. M.
3
1969
Equivariant indices of vector fields and 1-forms. Zbl 1336.14007
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
3
2015
Higher order generalized Euler characteristics and generating series. Zbl 1320.32029
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
3
2015
Orbifold E-functions of dual invertible polynomials. Zbl 1379.32025
Ebeling, Wolfgang; Gusein-Zade, Sabir M.; Takahashi, Atsushi
3
2016
Quadratic forms for a 1-form on an isolated complete intersection singularity. Zbl 1089.32018
Ebeling, W.; Gusein-Zade, S. M.
3
2006
Index of a singular point of a gradient vector field. Zbl 0555.32006
Gusejn-Zade, S. M.
3
1984
On the zeta-function of a polynomial at infinity. Zbl 0970.32015
Gusein-Zade, Sabir M.; Luengo, Ignacio; Melle-Hernández, Alejandro
3
2000
Orbifold zeta functions for dual invertible polynomials. Zbl 1360.14107
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
3
2017
Equivariant versions of higher order orbifold Euler characteristics. Zbl 1382.55004
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
3
2016
On the topological type of a set of plane valuations with symmetries. Zbl 1397.13009
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
3
2017
On generating series of classes of equivariant Hilbert schemes of fat points. Zbl 1206.14014
Gusein-Zade, S.; Luengo, I.; Melle-Hernández, A.
2
2010
On singularities from which an \(A_ 1\) can be split off. Zbl 0793.32013
Gusejn-Zade, S. M.
2
1993
Method of real morsifications for complete intersection singularities. Zbl 0829.14022
Gusein-Zade, Sabir M.
2
1994
Coxeter-Dynkin diagrams of the complete intersection singularities \(Z_ 9\) and \(Z_{10}\). Zbl 0834.14002
Ebeling, W.; Gusein-Zade, S. M.
2
1995
Monodromies and Poincaré series of quasihomogeneous complete intersections. Zbl 1070.14004
Ebeling, W.; Gusein-Zade, S. M.
2
2004
Equivariant Poincaré series of filtrations and topology. Zbl 1317.14006
Campillo, Antonio; Delgado, Félix; Gusein-Zade, Sabir M.
2
2014
Integration over spaces of nonparametrized arcs and motivic versions of the monodromy zeta function. Zbl 1350.14023
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
2
2006
On adjacencies of singularities \(A_ k\) to points of the \(\mu =const\) stratum of a singularity. Zbl 0555.32008
Gusejn-Zade, S. M.; Nekhoroshev, N. N.
2
1983
On the index of a holomorphic \(1\)-form on an isolated complete intersection singularity. Zbl 1086.32501
Gusein-Zade, S. M.; Ebeling, Wolfgang
2
2001
The extended semigroup of a plane curve singularity. Zbl 1048.58027
Guseĭn-Zade, S. M.; Delgado, F.; Campillo, A.
2
1998
On the existence of deformations without critical points (the Teissier problem for functions of two variables). Zbl 0911.32046
Gusein-Zade, S. M.
2
1997
On the number of topological types of plane curves. Zbl 0915.57004
Gusein-Zade, S. M.; Duzhin, F. S.
2
1998
Poincaré series and zeta function of the monodromy of a quasihomogeneous singularity. Zbl 1056.14003
Ebeling, W.; Gusein-Zade, S. M.
2
2002
Chern obstructions for collections of 1-forms on singular varieties. Zbl 1130.32011
Ebeling, W.; Gusein-Zade, S. M.
2
2007
Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. Zbl 1454.57020
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
2
2017
Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials. Zbl 1255.32013
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2012
Deformations of polynomials and their zeta-functions. Zbl 1194.32017
Gusein-Zade, S. M.; Siersma, D.
1
2007
Monodromy of dual invertible polynomials. Zbl 1257.32028
Ebeling, W.; Gusein-Zade, S. M.
1
2011
On equivariant indices of 1-forms on varieties. Zbl 1398.32036
Gusein-Zade, S. M.; Mamedova, F. I.
1
2017
Grothendieck ring of varieties with actions of finite groups. Zbl 1454.14023
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
1
2019
An equivariant version of the Euler obstruction. Zbl 1380.32011
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2017
On indices of meromorphic 1-forms. Zbl 1060.32013
Ebeling, W.; Gusein-Zade, S. M.
1
2004
On the zeta functions of a meromorphic germ in two variables. Zbl 1077.14039
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2004
U-actions of a circle and fixed points. Zbl 0248.57026
Gusein-Zade, S. M.
1
1972
Monodromiegruppen isolierter Singularitäten von Hyperflächen. Zbl 0363.32010
Gusein-Zade, S. M.
1
1977
On an equivariant version of the zeta function of a transformation. Zbl 1325.32030
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
1
2015
Multi-variable Poincaré series associated with Newton diagrams. Zbl 1302.32025
Ebeling, W.; Gusein-Zade, S. M.
1
2010
On divisorial filtrations associated with Newton diagrams. Zbl 1292.32008
Ebeling, W.; Gusein-Zade, S. M.
1
2011
On a Newton filtration for functions on a curve singularity. Zbl 1292.32009
Ebeling, W.; Gusein-Zade, S. M.
1
2012
Hilbert function, generalized Poincaré series and topology of plane valuations. Zbl 1325.14010
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2014
Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic. Zbl 1440.14187
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2020
Equivariant Poincaré series and topology of valuations. Zbl 1431.14004
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2016
On Poincaré series of filtrations. Zbl 1406.13021
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2015
On the action of a circle on manifolds. Zbl 0235.57014
Gusejn-Zade, S. M.
1
1972
On the topology of quasiperiodic functions. Zbl 0959.58048
Gusein-Zade, S. M.
1
1999
Dynkin diagrams of some complete intersections and real morsifications. Zbl 0882.32017
Gusein-Zade, S. M.
1
1995
On atypical values and local monodromies of meromorphic functions. Zbl 0990.32007
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
1
1999
On the monodromy at infinity of a plane curve and the Poincaré series of its coordinate ring. Zbl 1005.14012
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
1
1999
On singularities admitting perturbations with a small number of critical values. Zbl 0626.32025
Gusejn-Zade, S. M.
1
1987
Number of critical points for a quasiperiodic potential. Zbl 0711.58007
Gusejn-Zade, S. M.
1
1989
Alexander polynomials and Poincaré series of sets of ideals. Zbl 1271.32032
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
1
2011
Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic. Zbl 1440.14187
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2020
Grothendieck ring of varieties with actions of finite groups. Zbl 1454.14023
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
1
2019
Orbifold Milnor lattice and orbifold intersection form. Zbl 1393.14056
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2018
Equivariant analogues of the Euler characteristic and Macdonald type equations. Zbl 1376.57039
Gusein-Zade, S. M.
4
2017
Orbifold zeta functions for dual invertible polynomials. Zbl 1360.14107
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
3
2017
On the topological type of a set of plane valuations with symmetries. Zbl 1397.13009
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
3
2017
Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. Zbl 1454.57020
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
2
2017
On equivariant indices of 1-forms on varieties. Zbl 1398.32036
Gusein-Zade, S. M.; Mamedova, F. I.
1
2017
An equivariant version of the Euler obstruction. Zbl 1380.32011
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2017
Orbifold E-functions of dual invertible polynomials. Zbl 1379.32025
Ebeling, Wolfgang; Gusein-Zade, Sabir M.; Takahashi, Atsushi
3
2016
Equivariant versions of higher order orbifold Euler characteristics. Zbl 1382.55004
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
3
2016
Equivariant Poincaré series and topology of valuations. Zbl 1431.14004
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2016
An equivariant Poincaré series of filtrations and monodromy zeta functions. Zbl 1327.14019
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
5
2015
Equivariant indices of vector fields and 1-forms. Zbl 1336.14007
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
3
2015
Higher order generalized Euler characteristics and generating series. Zbl 1320.32029
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
3
2015
On an equivariant version of the zeta function of a transformation. Zbl 1325.32030
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
1
2015
On Poincaré series of filtrations. Zbl 1406.13021
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2015
Equivariant Poincaré series of filtrations and topology. Zbl 1317.14006
Campillo, Antonio; Delgado, Félix; Gusein-Zade, Sabir M.
2
2014
Hilbert function, generalized Poincaré series and topology of plane valuations. Zbl 1325.14010
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2014
Equivariant Poincaré series of filtrations. Zbl 1276.14005
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
7
2013
On the pre-\(\lambda \)-ring structure on the Grothendieck ring of stacks and the power structures over it. Zbl 1272.14006
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
4
2013
Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi. Reprint of the 1988 hardback edition. Zbl 1297.32001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
147
2012
Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol’d. Reprint of the 1985 hardback edition. Zbl 1290.58001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
142
2012
Saito duality between Burnside rings for invertible polynomials. Zbl 1298.32017
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
9
2012
Orbifold Euler characteristics for dual invertible polynomials. Zbl 1319.14046
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
4
2012
Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials. Zbl 1255.32013
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
1
2012
On a Newton filtration for functions on a curve singularity. Zbl 1292.32009
Ebeling, W.; Gusein-Zade, S. M.
1
2012
Monodromy of dual invertible polynomials. Zbl 1257.32028
Ebeling, W.; Gusein-Zade, S. M.
1
2011
On divisorial filtrations associated with Newton diagrams. Zbl 1292.32008
Ebeling, W.; Gusein-Zade, S. M.
1
2011
Alexander polynomials and Poincaré series of sets of ideals. Zbl 1271.32032
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
1
2011
Integration with respect to the Euler characteristic and its applications. Zbl 1228.14005
Gusein-Zade, S. M.
6
2010
The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors. Zbl 1203.14031
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
5
2010
Poincaré series of collections of plane valuations. Zbl 1213.32013
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.; Hernando, F.
4
2010
On generating series of classes of equivariant Hilbert schemes of fat points. Zbl 1206.14014
Gusein-Zade, S.; Luengo, I.; Melle-Hernández, A.
2
2010
Multi-variable Poincaré series associated with Newton diagrams. Zbl 1302.32025
Ebeling, W.; Gusein-Zade, S. M.
1
2010
On indices of 1-forms on determinantal singularities. Zbl 1202.32023
Gusein-Zade, S. M.; Ebeling, W.
14
2009
Universal abelian covers of rational surface singularities and multi-index filtrations. Zbl 1156.14317
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
12
2008
An equivariant version of the monodromy zeta function. Zbl 1156.32016
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
4
2008
Multi-index filtrations and generalized Poincaré series. Zbl 1111.14020
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
14
2007
On the power structure over the Grothendieck ring of varieties and its applications. Zbl 1222.14007
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
6
2007
On Poincaré series of filtrations on equivariant functions of two variables. Zbl 1131.14007
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
6
2007
Chern obstructions for collections of 1-forms on singular varieties. Zbl 1130.32011
Ebeling, W.; Gusein-Zade, S. M.
2
2007
Deformations of polynomials and their zeta-functions. Zbl 1194.32017
Gusein-Zade, S. M.; Siersma, D.
1
2007
Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points. Zbl 1122.14003
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
18
2006
Indices of vector fields and 1-forms on singular varieties. Zbl 1124.32012
Ebeling, W.; Gusein-Zade, S. M.
6
2006
Quadratic forms for a 1-form on an isolated complete intersection singularity. Zbl 1089.32018
Ebeling, W.; Gusein-Zade, S. M.
3
2006
Integration over spaces of nonparametrized arcs and motivic versions of the monodromy zeta function. Zbl 1350.14023
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
2
2006
Radial index and Euler obstruction of a 1-form on a singular variety. Zbl 1110.14004
Ebeling, W.; Gusein-Zade, S. M.
11
2005
Poincaré series of curves on rational surface singularities. Zbl 1075.14024
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
4
2005
Indices of vector fields or 1-forms and characteristic numbers. Zbl 1086.32025
Ebeling, W.; Gusein-Zade, S. M.
4
2005
A power structure over the Grothendieck ring of varieties. Zbl 1063.14026
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
29
2004
Poincaré series of a rational surface singularity. Zbl 1060.14054
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
21
2004
Homological index for 1-forms and a Milnor number for isolated singularities. Zbl 1065.14003
Ebeling, W.; Gusein-Zade, S. M.; Seade, J.
10
2004
Monodromies and Poincaré series of quasihomogeneous complete intersections. Zbl 1070.14004
Ebeling, W.; Gusein-Zade, S. M.
2
2004
On indices of meromorphic 1-forms. Zbl 1060.32013
Ebeling, W.; Gusein-Zade, S. M.
1
2004
On the zeta functions of a meromorphic germ in two variables. Zbl 1077.14039
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
1
2004
The Alexander polynomial of a plane curve singularity via the ring of functions on it. Zbl 1028.32013
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
33
2003
The Alexander polynomial of a plane curve singularity and integrals with respect to the Euler characteristic. Zbl 1056.14035
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
15
2003
Poincaré series for several plane divisorial valuations. Zbl 1083.14502
Delgado, F.; Gusein-Zade, S. M.
13
2003
Indices of 1-forms on an isolated complete intersection singularity. Zbl 1039.32033
Ebeling, W.; Gusein-Zade, S. M.
10
2003
Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial. Zbl 1030.32021
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
4
2002
Poincaré series and zeta function of the monodromy of a quasihomogeneous singularity. Zbl 1056.14003
Ebeling, W.; Gusein-Zade, S. M.
2
2002
Bifurcations and topology of meromorphic germs. Zbl 0991.32019
Gusein-Zade, Sabir; Luengo, Ignacio; Hernández, Alejandro Melle
4
2001
On the index of a holomorphic \(1\)-form on an isolated complete intersection singularity. Zbl 1086.32501
Gusein-Zade, S. M.; Ebeling, Wolfgang
2
2001
Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity. Zbl 1046.32007
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
8
2000
Topology of meromorphic germs and its applications. Zbl 0972.32022
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
4
2000
Singularities of type \(A_k\) on plane curves of a chosen degree. Zbl 0980.32008
Gusein-Zade, S. M.; Nekhoroshev, N. N.
4
2000
On the zeta-function of a polynomial at infinity. Zbl 0970.32015
Gusein-Zade, Sabir M.; Luengo, Ignacio; Melle-Hernández, Alejandro
3
2000
On generators of the semigroup of a plane curve singularity. Zbl 0974.14020
Campillo, A.; Delgado, F.; Gusein-Zade, S. M.
13
1999
On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions. Zbl 0967.14017
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
10
1999
On the index of a vector field at an isolated singularity. Zbl 0942.57024
Ebeling, W.; Gusein-Zade, S. M.
8
1999
The Alexander polynomial of plane curve singularities and rings of functions on curves. Zbl 0976.32017
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
6
1999
On the topology of quasiperiodic functions. Zbl 0959.58048
Gusein-Zade, S. M.
1
1999
On atypical values and local monodromies of meromorphic functions. Zbl 0990.32007
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
1
1999
On the monodromy at infinity of a plane curve and the Poincaré series of its coordinate ring. Zbl 1005.14012
Gusein-Zade, S. M.; Delgado, F.; Campillo, A.
1
1999
Zeta functions for germs of meromorphic functions, and Newton diagrams. Zbl 0933.32003
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
11
1998
The extended semigroup of a plane curve singularity. Zbl 1048.58027
Guseĭn-Zade, S. M.; Delgado, F.; Campillo, A.
2
1998
On the number of topological types of plane curves. Zbl 0915.57004
Gusein-Zade, S. M.; Duzhin, F. S.
2
1998
Partial resolutions and the zeta-function of a singularity. Zbl 0901.32024
Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A.
12
1997
Verlinde algebras and the intersection form on vanishing cycles. Zbl 0911.32044
Gusein-Zade, S. M.; Varchenko, A.
6
1997
On the existence of deformations without critical points (the Teissier problem for functions of two variables). Zbl 0911.32046
Gusein-Zade, S. M.
2
1997
Coxeter-Dynkin diagrams of the complete intersection singularities \(Z_ 9\) and \(Z_{10}\). Zbl 0834.14002
Ebeling, W.; Gusein-Zade, S. M.
2
1995
Dynkin diagrams of some complete intersections and real morsifications. Zbl 0882.32017
Gusein-Zade, S. M.
1
1995
Method of real morsifications for complete intersection singularities. Zbl 0829.14022
Gusein-Zade, Sabir M.
2
1994
On singularities from which an \(A_ 1\) can be split off. Zbl 0793.32013
Gusejn-Zade, S. M.
2
1993
Number of critical points for a quasiperiodic potential. Zbl 0711.58007
Gusejn-Zade, S. M.
1
1989
Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Zbl 0659.58002
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
45
1988
On singularities admitting perturbations with a small number of critical values. Zbl 0626.32025
Gusejn-Zade, S. M.
1
1987
Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. Zbl 0554.58001
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
69
1985
Singularities of differentiable mappings. Monodromy and asymptotics of integrals. (Osobennosti differentsiruemykh otobrazhenij. Monodromiya i asimptotiki integralov). Zbl 0545.58001
Arnol’d, V. I.; Varchenko, A. N.; Gusejn-Zade, S. M.
6
1984
Index of a singular point of a gradient vector field. Zbl 0555.32006
Gusejn-Zade, S. M.
3
1984
On adjacencies of singularities \(A_ k\) to points of the \(\mu =const\) stratum of a singularity. Zbl 0555.32008
Gusejn-Zade, S. M.; Nekhoroshev, N. N.
2
1983
Singularities of differentiable mappings. Classification of critical points, caustics and wave fronts. (Osobennosti differentsiruemykh otobrazhenij. Klassifikatsiya kriticheskikh tochek, kaustik i volnovykh frontov). Zbl 0513.58001
Arnol’d, V. I.; Varchenko, A. N.; Gusejn-Zade, S. M.
6
1982
The monodromy groups of isolated singularities of hypersurfaces. Zbl 0379.32013
Gusein-Zade, S. M.
34
1977
Monodromiegruppen isolierter Singularitäten von Hyperflächen. Zbl 0363.32010
Gusein-Zade, S. M.
1
1977
Intersection matrices for certain singularities of functions of two variables. Zbl 0304.14009
Gusein-Zade, S. M.
35
1974
Dynkin diagrams for singularities of functions of two variables. Zbl 0309.14006
Gusejn-Zade, S. M.
12
1974
U-actions of a circle and fixed points. Zbl 0248.57026
Gusein-Zade, S. M.
1
1972
On the action of a circle on manifolds. Zbl 0235.57014
Gusejn-Zade, S. M.
1
1972
On a game connected with a Wiener process. Zbl 0191.49702
Gusein-Zade, S. M.
3
1969
...and 1 more Documents
all top 5

Cited by 746 Authors

50 Gusein-Zade, Sabir M.
22 Ebeling, Wolfgang
16 Delgado, Felix
14 Campillo, Antonio
13 Némethi, András
12 Luengo, Ignacio
12 Melle-Hernández, Alejandro
9 Janeczko, Stanisław
9 Moyano Fernández, Julio José
8 Soares Ruas, Maria Aparecida
8 Vasil’ev, Viktor Anatol’evich
7 Izumiya, Shyuichi
6 Bivià-Ausina, Carles
6 Milanov, Todor E.
6 Novikov, Dmitry
5 Albeverio, Sergio A.
5 de Góes Grulha, Nivaldo jun.
5 Dimca, Alexandru
5 Gorsky, Eugene
5 Greenblatt, Michael
5 László, Tamás
5 Martín-Morales, Jorge
5 Maxim, Laurentiu G.
5 Movasati, Hossein
5 Seade, Jose Antonio
5 Shen, Yefeng
5 Siersma, Dirk
5 Takahashi, Atsushi
5 Takeuchi, Kiyoshi
5 Yakovenko, Sergei
5 Yamada, Yuichi
4 Astashov, Evgeniĭ Aleksandrovich
4 Borodzik, Maciej
4 Davydov, Alekseĭ Aleksandrovich
4 Esterov, Alexander I.
4 Galindo Pastor, Carlos
4 Goryunov, Victor V.
4 Hertling, Claus
4 Ikromov, Isroil A.
4 Il’yuta, G. G.
4 Kamimoto, Joe
4 Monserrat, Francisco
4 Nagy, János
4 Ricolfi, Andrea T.
4 Szendrői, Balázs
4 Varchenko, Alexander Nikolaevich
4 Zakalyukin, Vladimir M.
4 Zuber, Jean-Bernard
3 Allcock, Daniel Jonathan
3 Arnol’d, Vladimir Igorevich
3 Baryshnikov, Yuliy M.
3 Binyamini, Gal
3 Challapa, Lizandro Sanchez
3 Chmutov, Sergei V.
3 D’Anna, Marco
3 Dutertre, Nicolas
3 Gaffney, Terence
3 Hernando, Fernando
3 Ishikawa, Goo
3 Laza, Radu
3 Manh, Hy Duc
3 Mardešić, Pavao
3 Mazzucchi, Sonia
3 Micale, Vincenzo
3 Nakamura, Yayoi
3 Nose, Toshihiro
3 Nuño-Ballesteros, Juan José
3 Reeve, Graham Mark
3 Ruan, Yongbin
3 Schürmann, Jörg
3 Shende, Vivek Vijay
3 Shustin, Eugenii Isaakovich
3 Veys, Willem
3 Weber, Andrzej
3 Żołądek, Henryk
2 Aazami, Amir Babak
2 Abiev, Nurlan Abievich
2 A’Campo, Norbert
2 Aleksandrov, Aleksandr Grigor’evich
2 Alharbi, Fawaz
2 Ardentov, Andrei A.
2 Barbero-Liñán, María
2 Basalaev, Alexey
2 Belavin, Aleksandr Abramovich
2 Bryan, Jim
2 Carlson, James A.
2 Ceresole, Anna
2 Chen, Hao
2 de M. Rios, Pedro
2 Dobrokhotov, Sergei Yurievich
2 Domitrz, Wojciech
2 Dunne, Gerald V.
2 Efstathiou, Konstantinos
2 Ehrenborg, Richard
2 Èlkin, V. I.
2 Encinas, Santiago
2 Fan, Huijun
2 Fernández de Bobadilla, Javier
2 Givental, Alexander Borisovich
2 Gómez-Mont, Xavier
...and 646 more Authors
all top 5

Cited in 191 Serials

36 Functional Analysis and its Applications
23 Advances in Mathematics
19 Proceedings of the Steklov Institute of Mathematics
17 Mathematische Zeitschrift
16 Annales de l’Institut Fourier
16 Duke Mathematical Journal
16 Journal of Mathematical Sciences (New York)
14 Journal of Geometry and Physics
14 Topology and its Applications
13 Transactions of the American Mathematical Society
12 Journal of High Energy Physics
11 Communications in Mathematical Physics
11 Mathematical Notes
10 Manuscripta Mathematica
10 Revista Matemática Complutense
9 Inventiones Mathematicae
9 Journal of Differential Equations
9 Mathematische Annalen
8 Israel Journal of Mathematics
8 Compositio Mathematica
8 Journal of Algebra
8 Journal of Singularities
8 Arnold Mathematical Journal
7 Journal of Mathematical Physics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Nuclear Physics. B
7 Selecta Mathematica. New Series
7 Geometry & Topology
7 Bulletin of the Brazilian Mathematical Society. New Series
6 Moscow University Mathematics Bulletin
6 Journal of Pure and Applied Algebra
6 Bulletin des Sciences Mathématiques
6 Journal of Dynamical and Control Systems
6 Algebraic & Geometric Topology
5 Journal of Mathematical Analysis and Applications
5 Geometriae Dedicata
5 Journal of the Mathematical Society of Japan
5 Michigan Mathematical Journal
5 Monatshefte für Mathematik
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Journal of Algebraic Geometry
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Theoretical and Mathematical Physics
4 Differential Geometry and its Applications
4 Indagationes Mathematicae. New Series
4 Russian Journal of Mathematical Physics
4 Annals of Mathematics. Second Series
3 Archive for Rational Mechanics and Analysis
3 Letters in Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Bulletin of the London Mathematical Society
3 Osaka Journal of Mathematics
3 Proceedings of the American Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Tohoku Mathematical Journal. Second Series
3 Physica D
3 Journal of Symbolic Computation
3 Revista Matemática Iberoamericana
3 International Journal of Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Knot Theory and its Ramifications
3 St. Petersburg Mathematical Journal
3 The Journal of Fourier Analysis and Applications
3 Doklady Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal de l’École Polytechnique – Mathématiques
2 International Journal of Modern Physics A
2 Communications in Algebra
2 Russian Mathematical Surveys
2 Arkiv för Matematik
2 Reviews in Mathematical Physics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Demonstratio Mathematica
2 Glasgow Mathematical Journal
2 Journal of Combinatorial Theory. Series A
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Tokyo Journal of Mathematics
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Discrete & Computational Geometry
2 Computational Mathematics and Mathematical Physics
2 Applicable Algebra in Engineering, Communication and Computing
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 Regular and Chaotic Dynamics
2 Qualitative Theory of Dynamical Systems
2 Journal of Algebra and its Applications
2 Mediterranean Journal of Mathematics
2 Functional Analysis and Other Mathematics
2 European Journal of Mathematics
1 Discrete Applied Mathematics
1 General Relativity and Gravitation
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Applied Mathematics and Mechanics
1 Journal of Statistical Physics
1 Nonlinearity
1 Physics Letters. A
1 Physics Letters. B
...and 91 more Serials
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Cited in 57 Fields

293 Algebraic geometry (14-XX)
224 Several complex variables and analytic spaces (32-XX)
108 Global analysis, analysis on manifolds (58-XX)
101 Manifolds and cell complexes (57-XX)
87 Differential geometry (53-XX)
63 Dynamical systems and ergodic theory (37-XX)
45 Quantum theory (81-XX)
40 Commutative algebra (13-XX)
39 Ordinary differential equations (34-XX)
35 Partial differential equations (35-XX)
28 Group theory and generalizations (20-XX)
22 Algebraic topology (55-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
16 Associative rings and algebras (16-XX)
14 Number theory (11-XX)
14 Nonassociative rings and algebras (17-XX)
13 Combinatorics (05-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Systems theory; control (93-XX)
11 Relativity and gravitational theory (83-XX)
10 Category theory; homological algebra (18-XX)
10 Mechanics of particles and systems (70-XX)
10 Optics, electromagnetic theory (78-XX)
9 Convex and discrete geometry (52-XX)
9 Probability theory and stochastic processes (60-XX)
8 Measure and integration (28-XX)
8 Functions of a complex variable (30-XX)
8 Operator theory (47-XX)
7 Real functions (26-XX)
7 Approximations and expansions (41-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Fluid mechanics (76-XX)
6 \(K\)-theory (19-XX)
6 Numerical analysis (65-XX)
6 Mechanics of deformable solids (74-XX)
5 Integral transforms, operational calculus (44-XX)
5 Geometry (51-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Operations research, mathematical programming (90-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Functional analysis (46-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Information and communication theory, circuits (94-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Biology and other natural sciences (92-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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