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Kapranov, Mikhail M.

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Author ID: kapranov.mikhail-m Recent zbMATH articles by "Kapranov, Mikhail M."
Published as: Kapranov, M.; Kapranov, M. M.; Kapranov, Mikhail; Kapranov, Mikhail M.
Homepage: http://users.math.yale.edu/~mk486/
External Links: MGP · Wikidata · GND
Documents Indexed: 102 Publications since 1983, including 5 Books
all top 5

Serials

9 Functional Analysis and its Applications
8 Advances in Mathematics
5 Duke Mathematical Journal
4 Mathematische Annalen
4 Mathematics of the USSR. Izvestiya
4 Soviet Mathematics. Doklady
3 Russian Mathematical Surveys
3 Journal of Pure and Applied Algebra
3 Selecta Mathematica. New Series
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Compositio Mathematica
2 Journal für die Reine und Angewandte Mathematik
2 Journal of the American Mathematical Society
2 Transformation Groups
2 Pure and Applied Mathematics Quarterly
1 American Journal of Mathematics
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Number Theory
1 Proceedings of the American Mathematical Society
1 Leningrad Mathematical Journal
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Mathematics of the USSR, Sbornik
1 Matematicheskiĭ Sbornik
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 Mathematical Research Letters
1 Documenta Mathematica
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Contemporary Mathematics
1 Lecture Notes in Mathematics
1 Progress in Mathematics
1 Journal of Noncommutative Geometry
1 Japanese Journal of Mathematics. 3rd Series
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 3,061 times in 2,480 Documents Cited by Year
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
682
1994
Koszul duality for operads. Zbl 0855.18006
Ginzburg, Victor; Kapranov, Mikhail
239
1994
Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.
144
1990
On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008
Kapranov, M. M.
110
1988
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
102
2008
Non-archimedean amoebas and tropical varieties. Zbl 1115.14051
Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas
99
2006
Chow quotients of Grassmannians. I. Zbl 0811.14043
Kapranov, M. M.
96
1993
2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.
88
1994
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
82
1990
Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.
78
1991
Hypergeometric functions and toric varieties. Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
77
1989
Modular operads. Zbl 0894.18005
Getzler, E.; Kapranov, M. M.
68
1998
Cyclic operads and cyclic homology. Zbl 0883.18013
Getzler, E.; Kapranov, M. M.
66
1995
Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026
Kapranov, M.
50
1999
Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020
Kapranov, M. M.
49
1993
Langlands reciprocity for algebraic surfaces. Zbl 0914.11040
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
48
1995
Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001
Kapranov, M.; Vasserot, E.
46
2000
The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003
Kapranov, Mikhail M.
45
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
44
1992
Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.
44
1990
Eisenstein series and quantum affine algebras. Zbl 0929.11015
Kapranov, M. M.
39
1997
Derived Quot schemes. Zbl 1050.14042
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
35
2001
Heisenberg doubles and derived categories. Zbl 0910.18005
Kapranov, M.
33
1998
Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007
Dolgachev, I.; Kapranov, M.
31
1993
Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.
28
2001
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
27
1991
Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.
26
1994
On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023
Kapranov, M. M.
25
1985
Representation and character theory in 2-categories. Zbl 1136.18001
Ganter, Nora; Kapranov, Mikhail
24
2008
Noncommutative geometry based on conductor expansions. Zbl 0918.14001
Kapranov, M.
24
1998
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
24
1992
Virtual fundamental classes via dg-manifolds. Zbl 1159.14002
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
23
2009
Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd
23
1994
A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031
Kapranov, M. M.
23
1991
Vertex algebras and the formal loop space. Zbl 1106.17038
Kapranov, Mikhail; Vasserot, Eric
20
2004
Derived Hilbert schemes. Zbl 1074.14003
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M.
18
2002
Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.
18
1991
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.
18
1991
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
18
1990
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
17
1990
Free Lie algebroids and the space of paths. Zbl 1149.14003
Kapranov, Mikhail
16
2007
Residue construction of Hecke algebras. Zbl 0884.22010
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
15
1997
Triangulated surfaces in triangulated categories. Zbl 1403.18011
Dyckerhoff, Tobias; Kapranov, Mikhail
13
2018
Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005
Kapranov, M.
13
2001
The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016
Franecki, J.; Kapranov, M.
12
2000
Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062
Kapranov, M. M.
12
1995
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
12
1993
Higher Segal spaces. Zbl 1459.18001
Dyckerhoff, Tobias; Kapranov, Mikhail
11
2019
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
1990
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
1988
The derived category of coherent sheaves on a quadric. Zbl 0607.18004
Kapranov, M. M.
11
1986
Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022
Kapranov, Mikhail; Vasserot, Éric
10
2007
Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.
10
1990
Crossed simplicial groups and structured surfaces. Zbl 1373.18015
Dyckerhoff, T.; Kapranov, M.
9
2015
\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.
9
1991
On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010
Kapranov, M. M.
8
1991
Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim
7
2018
Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062
Kapranov, Mikhail; Schechtman, Vadim
7
2016
Symmetric and exterior powers of categories. Zbl 1307.18007
Ganter, Nora; Kapranov, Mikhail
7
2014
Erratum to “Koszul duality for operads”. Zbl 0855.18007
Ginzburg, V.; Kapranov, M.
7
1995
On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005
Kapranov, M. M.
7
1989
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
7
1989
Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012
Kapranov, M.
6
2001
Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027
Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail
5
2019
Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025
Kapranov, M.; Pimenov, S.
5
2017
Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007
Kapranov, M.; Vasserot, E.
5
2008
On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025
Kapranov, M. M.
5
1988
The Hall algebra of a curve. Zbl 1366.16026
Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric
4
2017
Real mixed Hodge structures. Zbl 1276.14013
Kapranov, Mikhail
4
2012
Noncommutative geometry and path integrals. Zbl 1204.58008
Kapranov, Mikhail
4
2009
Hypergeometric functions on reductive groups. Zbl 0987.33008
Kapranov, Mikhail
4
1998
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
4
1990
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
4
1989
Algebra of the infrared and secondary polytopes. Zbl 1348.81424
Kapranov, M.; Kontsevich, M.; Soibelman, Y.
3
2016
Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico
3
1999
Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007
Kapranov, M. M.
3
1983
Microlocal sheaves and quiver varieties. Zbl 1370.14026
Bezrukavnikov, Roman; Kapranov, Mikhail
2
2016
Supersymmetry and the formal loop space. Zbl 1219.14026
Kapranov, Mikhail; Vasserot, Eric
2
2011
Riemann-Roch for real varieties. Zbl 1230.14010
Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric
2
2009
Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043
Arkhipov, Sergey; Kapranov, Mikhail
2
2006
Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006
Kapranov, Mikhail
2
2000
A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055
Kapranov, M.
2
1995
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011
Dolgachev, I.; Kapranov, M.
2
1993
On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037
Gelfand, I. M.; Kapranov, M. M.
2
1993
Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032
Kapranov, M. M.
2
1987
The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025
Kapranov, M. M.; Manin, Yu. I.
2
1986
Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054
Kapranov, M.; Schiffmann, O.; Vasserot, E.
1
2014
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
1
2008
Operads and algebraic geometry. Zbl 0928.18003
Kapranov, M.
1
1998
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
1
1991
\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.
1
1990
Mutations and Serre functors on constructive bundles. Zbl 0744.55003
Kapranov, M. M.
1
1990
Higher Segal spaces. Zbl 1459.18001
Dyckerhoff, Tobias; Kapranov, Mikhail
11
2019
Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027
Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail
5
2019
Triangulated surfaces in triangulated categories. Zbl 1403.18011
Dyckerhoff, Tobias; Kapranov, Mikhail
13
2018
Perverse schobers and birational geometry. Zbl 1436.14037
Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim
7
2018
Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025
Kapranov, M.; Pimenov, S.
5
2017
The Hall algebra of a curve. Zbl 1366.16026
Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric
4
2017
Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062
Kapranov, Mikhail; Schechtman, Vadim
7
2016
Algebra of the infrared and secondary polytopes. Zbl 1348.81424
Kapranov, M.; Kontsevich, M.; Soibelman, Y.
3
2016
Microlocal sheaves and quiver varieties. Zbl 1370.14026
Bezrukavnikov, Roman; Kapranov, Mikhail
2
2016
Crossed simplicial groups and structured surfaces. Zbl 1373.18015
Dyckerhoff, T.; Kapranov, M.
9
2015
Symmetric and exterior powers of categories. Zbl 1307.18007
Ganter, Nora; Kapranov, Mikhail
7
2014
Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054
Kapranov, M.; Schiffmann, O.; Vasserot, E.
1
2014
Real mixed Hodge structures. Zbl 1276.14013
Kapranov, Mikhail
4
2012
Supersymmetry and the formal loop space. Zbl 1219.14026
Kapranov, Mikhail; Vasserot, Eric
2
2011
Virtual fundamental classes via dg-manifolds. Zbl 1159.14002
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
23
2009
Noncommutative geometry and path integrals. Zbl 1204.58008
Kapranov, Mikhail
4
2009
Riemann-Roch for real varieties. Zbl 1230.14010
Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric
2
2009
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
102
2008
Representation and character theory in 2-categories. Zbl 1136.18001
Ganter, Nora; Kapranov, Mikhail
24
2008
Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007
Kapranov, M.; Vasserot, E.
5
2008
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
1
2008
Free Lie algebroids and the space of paths. Zbl 1149.14003
Kapranov, Mikhail
16
2007
Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022
Kapranov, Mikhail; Vasserot, Éric
10
2007
Non-archimedean amoebas and tropical varieties. Zbl 1115.14051
Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas
99
2006
Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043
Arkhipov, Sergey; Kapranov, Mikhail
2
2006
Vertex algebras and the formal loop space. Zbl 1106.17038
Kapranov, Mikhail; Vasserot, Eric
20
2004
Derived Hilbert schemes. Zbl 1074.14003
Ciocan-Fontanine, Ionut; Kapranov, Mikhail M.
18
2002
Derived Quot schemes. Zbl 1050.14042
Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail
35
2001
Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.
28
2001
Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005
Kapranov, M.
13
2001
Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012
Kapranov, M.
6
2001
Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001
Kapranov, M.; Vasserot, E.
46
2000
The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016
Franecki, J.; Kapranov, M.
12
2000
Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006
Kapranov, Mikhail
2
2000
Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026
Kapranov, M.
50
1999
Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico
3
1999
Modular operads. Zbl 0894.18005
Getzler, E.; Kapranov, M. M.
68
1998
Heisenberg doubles and derived categories. Zbl 0910.18005
Kapranov, M.
33
1998
Noncommutative geometry based on conductor expansions. Zbl 0918.14001
Kapranov, M.
24
1998
Hypergeometric functions on reductive groups. Zbl 0987.33008
Kapranov, Mikhail
4
1998
Operads and algebraic geometry. Zbl 0928.18003
Kapranov, M.
1
1998
Eisenstein series and quantum affine algebras. Zbl 0929.11015
Kapranov, M. M.
39
1997
Residue construction of Hecke algebras. Zbl 0884.22010
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
15
1997
Cyclic operads and cyclic homology. Zbl 0883.18013
Getzler, E.; Kapranov, M. M.
66
1995
Langlands reciprocity for algebraic surfaces. Zbl 0914.11040
Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric
48
1995
Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062
Kapranov, M. M.
12
1995
Erratum to “Koszul duality for operads”. Zbl 0855.18007
Ginzburg, V.; Kapranov, M.
7
1995
A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055
Kapranov, M.
2
1995
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
682
1994
Koszul duality for operads. Zbl 0855.18006
Ginzburg, Victor; Kapranov, Mikhail
239
1994
2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.
88
1994
Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.
26
1994
Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd
23
1994
Chow quotients of Grassmannians. I. Zbl 0811.14043
Kapranov, M. M.
96
1993
Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020
Kapranov, M. M.
49
1993
The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003
Kapranov, Mikhail M.
45
1993
Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007
Dolgachev, I.; Kapranov, M.
31
1993
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
12
1993
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011
Dolgachev, I.; Kapranov, M.
2
1993
On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037
Gelfand, I. M.; Kapranov, M. M.
2
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
44
1992
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
24
1992
Enhanced triangulated categories. Zbl 0729.18008
Bondal, A. I.; Kapranov, M. M.
78
1991
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
27
1991
A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031
Kapranov, M. M.
23
1991
Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.
18
1991
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.
18
1991
\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.
9
1991
On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010
Kapranov, M. M.
8
1991
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
1
1991
Representable functors, Serre functors, and mutations. Zbl 0703.14011
Bondal, A. I.; Kapranov, M. M.
144
1990
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
82
1990
Equipped triangulated categories. Zbl 0719.18005
Bondal, A. I.; Kapranov, M. M.
44
1990
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
18
1990
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
17
1990
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
1990
Homogeneous bundles. Zbl 0742.14011
Bondal, A. I.; Kapranov, M. M.
10
1990
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
4
1990
\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.
1
1990
Mutations and Serre functors on constructive bundles. Zbl 0744.55003
Kapranov, M. M.
1
1990
Hypergeometric functions and toric varieties. Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
77
1989
On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005
Kapranov, M. M.
7
1989
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
7
1989
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
4
1989
On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008
Kapranov, M. M.
110
1988
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
1988
On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025
Kapranov, M. M.
5
1988
Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032
Kapranov, M. M.
2
1987
The derived category of coherent sheaves on a quadric. Zbl 0607.18004
Kapranov, M. M.
11
1986
The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025
Kapranov, M. M.; Manin, Yu. I.
2
1986
On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023
Kapranov, M. M.
25
1985
Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007
Kapranov, M. M.
3
1983
all top 5

Cited by 2,547 Authors

39 Kapranov, Mikhail M.
33 Sturmfels, Bernd
24 Dickenstein, Alicia M.
17 Katzarkov, Ludmil
17 Markl, Martin
16 Van den Bergh, Michel
15 Tabuada, Gonçalo
14 Mirò-Roig, Rosa Maria
13 Emiris, Ioannis Z.
13 Orlov, Dmitri O.
12 Morozov, Alexei Yurievich
12 Ottaviani, Giorgio Maria
11 Bremner, Murray R.
11 Jing, Naihuan
11 Manivel, Laurent
11 Polishchuk, Alexander Evgen’evich
11 Rojas, J. Maurice
11 Schiffmann, Olivier G.
11 Tsikh, Avgust Karlovich
11 Willwacher, Thomas Hans
11 Zhang, Weinian
10 Busé, Laurent
10 Costa, Laura
10 D’Andrea, Carlos
10 Joswig, Michael
10 Matusevich, Laura Felicia
10 Vallette, Bruno
9 Faenzi, Daniele
9 Kuznetsov, Aleksandr Gennad’evich
9 Lunts, Valery A.
9 Takeuchi, Kiyoshi
9 Vasserot, Eric
9 Zelevinskiĭ, Andreĭ V.
8 Ballard, Matthew Robert
8 Dotsenko, Vladimir Viktorovich
8 Favero, David
8 Forsgård, Jens
8 Fresse, Benoit
8 Gaubert, Stéphane
8 Isaev, Alexander
8 Jeronimo, Gabriela
8 Kock, Joachim
8 Moon, Han-Bom
8 Nisse, Mounir
8 Passare, Mikael
8 Reiner, Victor
8 Remm, Elisabeth
8 Sadykov, Timur Mradovich
8 Santos, Francisco
8 Walther, Uli
8 Yau, Donald Y.
8 Zhang, Haicheng
7 Calaque, Damien
7 Cattani, Eduardo H.
7 Esterov, Alexander I.
7 Francis, John
7 Gao, Xiaoshan
7 Giansiracusa, Noah
7 Hausen, Jürgen
7 Hosono, Shinobu
7 Iyama, Osamu
7 Katz, Eric
7 Kuniba, Atsuo
7 Lazarev, Andrey
7 Li, Wei
7 Merkulov, Sergei A.
7 Mikhalkin, Grigory B.
7 Mourrain, Bernard
7 Pournin, Lionel
7 Shustin, Eugenii Isaakovich
7 Sibilla, Nicolò
7 Takayama, Nobuki
7 Toën, Bertrand
7 Ueda, Kazushi
7 Vallès, Jean
7 Xu, Fan
7 Xu, Ping
7 Yuan, Chunming
6 Aspinwall, Paul S.
6 Berest, Yuri Yu.
6 Berkesch Zamaere, Christine
6 Bernardara, Marcello
6 Billera, Louis J.
6 Craw, Alastair
6 de Wolff, Timo
6 Dyckerhoff, Tobias
6 Elgueta, Josep
6 Eshaghi Gordji, Madjid
6 Fernández-Fernández, María-Cruz
6 Huh, Sukmoon
6 Kajiura, Hiroshige
6 Kerr, Gabriel
6 Kolesnikov, Pavel Sergeevich
6 Markwig, Hannah
6 Pilaud, Vincent
6 Pridham, Jonathan Paul
6 Ramadoss, Ajay C.
6 Scherotzke, Sarah
6 Soares, Helena
6 Tabera, Luis Felipe
...and 2,447 more Authors
all top 5

Cited in 314 Serials

236 Advances in Mathematics
135 Journal of Algebra
94 Journal of Pure and Applied Algebra
80 Journal of Symbolic Computation
63 Communications in Mathematical Physics
61 Transactions of the American Mathematical Society
54 Duke Mathematical Journal
45 Selecta Mathematica. New Series
44 Journal of High Energy Physics
42 Proceedings of the American Mathematical Society
41 Compositio Mathematica
38 Communications in Algebra
38 Mathematische Annalen
35 Journal of Mathematical Physics
33 Annales de l’Institut Fourier
33 Linear Algebra and its Applications
32 Mathematische Zeitschrift
29 Algebraic & Geometric Topology
28 Discrete & Computational Geometry
26 Letters in Mathematical Physics
24 Journal of Geometry and Physics
22 Journal of Combinatorial Theory. Series A
22 Applied Categorical Structures
22 Geometry & Topology
21 Manuscripta Mathematica
21 Advances in Applied Mathematics
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Inventiones Mathematicae
20 Journal of Algebraic Combinatorics
20 Journal of Mathematical Sciences (New York)
19 Journal of Algebraic Geometry
18 Journal of Noncommutative Geometry
17 Nuclear Physics. B
16 Journal of Homotopy and Related Structures
15 Journal of the American Mathematical Society
15 Algebras and Representation Theory
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
14 Functional Analysis and its Applications
14 Journal für die Reine und Angewandte Mathematik
14 Michigan Mathematical Journal
14 Journal of the European Mathematical Society (JEMS)
13 Tohoku Mathematical Journal. Second Series
13 European Journal of Mathematics
12 Theoretical and Mathematical Physics
12 Collectanea Mathematica
11 Journal of Number Theory
11 European Journal of Combinatorics
11 International Journal of Mathematics
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Theory and Applications of Categories
11 Forum of Mathematics, Sigma
10 Linear and Multilinear Algebra
10 Mathematics of Computation
10 Annals of Mathematics. Second Series
10 Journal of Algebra and its Applications
10 Proceedings of the Steklov Institute of Mathematics
10 Journal of Siberian Federal University. Mathematics & Physics
9 Israel Journal of Mathematics
9 Mathematische Nachrichten
9 Transformation Groups
8 Beiträge zur Algebra und Geometrie
8 Memoirs of the American Mathematical Society
8 International Journal of Geometric Methods in Modern Physics
8 Research in the Mathematical Sciences
7 Journal of Mathematical Analysis and Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Cahiers de Topologie et Géométrie Différentielle Catégoriques
7 Journal of the London Mathematical Society. Second Series
7 Nagoya Mathematical Journal
7 Theoretical Computer Science
7 Topology and its Applications
7 Foundations of Computational Mathematics
7 Journal of the Institute of Mathematics of Jussieu
7 SIAM Journal on Applied Algebra and Geometry
6 Mathematical Notes
6 Russian Mathematical Surveys
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Publications Mathématiques
6 Journal of Complexity
6 \(K\)-Theory
6 Revista Matemática Iberoamericana
6 Communications in Contemporary Mathematics
6 Advances in Geometry
6 Central European Journal of Mathematics
6 Science China. Mathematics
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Differential Equations
5 Mathematika
5 Differential Geometry and its Applications
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Indagationes Mathematicae. New Series
5 St. Petersburg Mathematical Journal
5 Annales Mathématiques Blaise Pascal
5 Advances in Applied Clifford Algebras
5 Sbornik: Mathematics
5 Documenta Mathematica
5 Representation Theory
5 Mathematics in Computer Science
5 Arnold Mathematical Journal
5 Journal de l’École Polytechnique – Mathématiques
...and 214 more Serials
all top 5

Cited in 61 Fields

1,161 Algebraic geometry (14-XX)
600 Category theory; homological algebra (18-XX)
390 Associative rings and algebras (16-XX)
295 Nonassociative rings and algebras (17-XX)
248 Quantum theory (81-XX)
235 Commutative algebra (13-XX)
208 Convex and discrete geometry (52-XX)
207 Several complex variables and analytic spaces (32-XX)
183 Differential geometry (53-XX)
178 Combinatorics (05-XX)
177 Algebraic topology (55-XX)
136 Group theory and generalizations (20-XX)
120 Computer science (68-XX)
116 Manifolds and cell complexes (57-XX)
114 Linear and multilinear algebra; matrix theory (15-XX)
99 Number theory (11-XX)
96 Special functions (33-XX)
84 Field theory and polynomials (12-XX)
76 \(K\)-theory (19-XX)
65 Numerical analysis (65-XX)
63 Global analysis, analysis on manifolds (58-XX)
50 Topological groups, Lie groups (22-XX)
48 Dynamical systems and ergodic theory (37-XX)
38 Ordinary differential equations (34-XX)
37 Partial differential equations (35-XX)
36 Functions of a complex variable (30-XX)
35 Relativity and gravitational theory (83-XX)
32 Difference and functional equations (39-XX)
32 Functional analysis (46-XX)
32 Geometry (51-XX)
30 Order, lattices, ordered algebraic structures (06-XX)
27 Biology and other natural sciences (92-XX)
24 Real functions (26-XX)
20 Statistical mechanics, structure of matter (82-XX)
20 Operations research, mathematical programming (90-XX)
16 Mathematical logic and foundations (03-XX)
16 Operator theory (47-XX)
16 Probability theory and stochastic processes (60-XX)
13 Statistics (62-XX)
9 Mechanics of particles and systems (70-XX)
7 General and overarching topics; collections (00-XX)
7 General topology (54-XX)
6 History and biography (01-XX)
6 General algebraic systems (08-XX)
6 Systems theory; control (93-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Information and communication theory, circuits (94-XX)
3 Measure and integration (28-XX)
3 Integral transforms, operational calculus (44-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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