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Khovanskiĭ, Askold Georgievich

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Author ID: khovanskii.askold-g Recent zbMATH articles by "Khovanskiĭ, Askold Georgievich"
Published as: Khovanskij, A. G.; Khovanskii, A. G.; Khovanskii, A.; Khovanskii, Askold; Khovanskiĭ, A. G.; Khovanskii, Askold G.; Khovanskij, A.; Khovanski, A.; Khovanskiĭ, Askold Georgievich; Khovanskij, Askol’d G.; Khovanskiĭ, Askold; Khovanskij, Askold; Hovanskii, A. G.; Hovanskij, A. G.
Homepage: https://www.math.toronto.edu/askold/
External Links: MGP · Wikidata · GND · IdRef
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Co-Authors

52 single-authored
12 Kaveh, Kiumars
10 Varchenko, Alexander Nikolaevich
6 Arnol’d, Vladimir Igorevich
6 Ilyashenko, Yulij Sergeevich
6 Vasil’ev, Viktor Anatol’evich
5 Lando, Sergei K.
4 Bukhshtaber, Viktor Matveevich
4 Burda, Yuri
4 Gel’fond, O. A.
4 Kantorovich, Leonid Vital’evich
4 Novikov, Sergeĭ Petrovich
4 Pukhlikov, Aleksandr Valentinovich
4 Sosinskiĭ, Alekseĭ Bronislavovich
3 Kozlov, Valeriĭ Vasil’evich
3 Novikov, Dmitry
2 Arlazarov, Vladimir L’vovich
2 Chmutov, Sergei V.
2 Chulkov, S. P.
2 Esterov, Alexander I.
2 Givental, Alexander Borisovich
2 Gromov, Mikhael Leonidovich
2 Harada, Megumi
2 Karev, Maksim V.
2 Kazarnovskiĭ, Boris Yakovlevich
2 Kazaryan, Maxim Eduardovich
2 Khesin, Boris A.
2 Khovanskij, G. S.
2 Korkína, E. I.
2 Krasil’shchik, Joseph
2 Mnëv, Nikolai Evgen’evich
2 Panina, Gaiane Yu.
2 Scherbak, Inna
2 Tsfasman, Michael A.
2 Vershik, Anatoliĭ Moiseevich
2 Yakovenko, Sergei
2 Zhiyanov, V. I.
1 Abramov, A. M.
1 Anosov, Dmitriĭ Viktorovich
1 Aptekarev, Alexander Ivanovich
1 Bernshteĭn, D. N.
1 Berry, Michael Victor
1 Bierstone, Edward
1 Bolsinov, Alexey V.
1 Braverman, Maxim
1 Burda, Yura
1 Cherkassky, Boris V.
1 Chirka, Evgeni M.
1 Chulkov, Sergey
1 Danilov, Vladimir I.
1 Dinitz, E. A.
1 Faradzhev, Igor Aleksandrovich
1 Friedlander, Leonid
1 Fuchs, Dmitry Borisovich
1 Fukui, Toshizumi
1 Gabrielov, Andrei
1 Galgani, Luigi
1 Gorodetskii, Anton Semenovich
1 Gusein-Zade, Sabir M.
1 Ivrii, Victor Ja.
1 Kaloshin, Vadim Yu.
1 Kantor, Jean-Michel
1 Karpenko, S. M.
1 Karzanov, Aleksandr V.
1 Kashin, Boris Sergeevich
1 Kator, A.
1 Kesel’man, V. M.
1 Kirillov, Alexandre Aleksandrovich
1 Konstantinov, N. N.
1 Kontsevich, Maxim Lvovich
1 Kordyukov, Yuri A.
1 Kozlova, E. G.
1 Krichever, Igor’ Moiseevich
1 Kronrod, M. A.
1 Kruzhilin, Nikolai Georgievich
1 Kuchment, Peter A.
1 Kushnirenko, A. G.
1 Kuznetsov, Oleg P.
1 Makarov, Valeriĭ Leonidovich
1 Manin, Yuri Ivanovich
1 Margulis, Grigoriĭ Aleksandrovich
1 Marsden, Jerrold Eldon
1 Maz’ya, Vladimir Gilelevich
1 Monin, Leonid
1 Neĭshtadt, Anatoliĭ Iserovich
1 Nemirovskiĭ, Stefan Yur’evich
1 Okun, Lev B.
1 Orlov, Dmitri O.
1 Pevzner, Pavel A.
1 Piterbarg, Vladimir Il’ich
1 Reshetnyak, Yuriĭ Grigor’evich
1 Schwarz, Albert S.
1 Semënov, Alekseĭ L’vovich
1 Sevryuk, Mikhail Borisovich
1 Shiryaev, Al’bert Nikolaevich
1 Sinaĭ, Yakov Grigor’evich
1 Slavin, Oleg Anatol’evich
1 Smale, Steve
1 Suetin, Sergeĭ Pavlovich
1 Sunada, Toshikazu
1 Tabachnikov, Serge L.
...and 7 more Co-Authors
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Serials

18 Functional Analysis and its Applications
11 Moscow Mathematical Journal
9 Russian Mathematical Surveys
5 Soviet Mathematics. Doklady
4 Uspekhi Matematicheskikh Nauk [N. S.]
4 Siberian Mathematical Journal
4 St. Petersburg Mathematical Journal
4 Arnold Mathematical Journal
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Sibirskiĭ Matematicheskiĭ Zhurnal
2 Mathematical Notes
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Journal of Knot Theory and its Ramifications
2 Izvestiya: Mathematics
2 Doklady Mathematics
2 RIMS Kokyuroku
2 Journal of Dynamical and Control Systems
2 Oberwolfach Reports
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Fixed Point Theory and Applications
2 Translations. Series 2. American Mathematical Society
1 Soviet Scientific Reviews. Section C
1 Canadian Mathematical Bulletin
1 Journal of Soviet Mathematics
1 Kodai Mathematical Journal
1 Mathematics of the USSR. Izvestiya
1 Discrete & Computational Geometry
1 Algebra i Analiz
1 Geometric and Functional Analysis. GAFA
1 Notices of the American Mathematical Society
1 Selecta Mathematica. New Series
1 Integral Transforms and Special Functions
1 Reviews in Mathematics and Mathematical Physics
1 Annals of Mathematics. Second Series
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Fields Institute Communications
1 Translations of Mathematical Monographs
1 Functional Analysis and Other Mathematics
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 754 times in 598 Documents Cited by Year
Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory. Zbl 1270.14022
Kaveh, Kiumars; Khovanskii, A. G.
116
2012
Newton polyhedra and toroidal varieties. Zbl 0445.14019
Khovanskii, A. G.
55
1978
Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Zbl 0669.14012
Danilov, V. I.; Khovanskij, A. G.
45
1987
A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010
Pukhlikov, A. V.; Khovanskii, A. G.
43
1992
Newton polyhedra and the genus of complete intersections. Zbl 0406.14035
Khovanskij, A. G.
39
1978
Real analytic varieties with the finiteness property and complex abelian integrals. Zbl 0584.32016
Khovanskij, A. G.
31
1984
Fewnomials of Pfaff manifolds. Zbl 0586.51015
Khovanskiĭ, A. G.
29
1984
Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002
Khovanskij, A. G.
24
1991
Algebraic equations and convex bodies. Zbl 1316.52011
Kaveh, Kiumars; Khovanskii, Askold
23
2012
A class of systems of transcendental equations. Zbl 0569.32004
Khovanskij, A. G.
21
1980
Convex bodies and multiplicities of ideals. Zbl 1315.13013
Kaveh, Kiumars; Khovanskii, Askold
21
2014
An application of the combinatorial Riemann-Roch theorem to the Ehrhart polynomial of integral polytopes in \(\mathbb{R}^ d\). (Une application du théorème de Riemann-Roch combinatoire au polynôme d’Ehrhart des polytopes entier de \(\mathbb{R}^ d\).) Zbl 0791.52012
Kantor, Jean-Michel; Khovanskij, Askold
19
1993
Finitely additive measures of virtual polytopes. Zbl 0778.52006
Pukhlikov, A. V.; Khovanskij, A. G.
17
1992
Elimination theory and Newton polytopes. Zbl 1192.14038
Esterov, A.; Khovanskii, A.
16
2008
Convex bodies associated to actions of reductive groups. Zbl 1284.14061
Kaveh, Kiumars; Khovanskii, Askold G.
16
2012
Finitely additive measures of virtual polytopes. Zbl 0791.52010
Pukhlikov, A. V.; Khovanskij, A. G.
15
1992
Multiplicity of a Noetherian intersection. Zbl 0916.32008
Gabrielov, Andrei; Khovanskii, Askold
12
1998
Branched covers of \(S^ 2\) and braid groups. Zbl 0865.57001
Khovanskij, A. G.; Zdravkovska, Smilka
11
1996
Mixed volume and an extension of intersection theory of divisors. Zbl 1287.14001
Kaveh, Kiumars; Khovanskii, A. G.
11
2010
Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012
Varchenko, A. N.; Khovanskij, A. G.
10
1985
Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\). Zbl 0941.26009
Khovanskii, A.; Yakovenko, S.
10
1996
Newton polyhedra. (Newtonsche Polyeder.) Zbl 0354.14001
Bernshteĭn, D. N.; Kushnirenko, A. G.; Khovanskiĭ, A. G.
10
1976
On the theory of coconvex bodies. Zbl 1397.52003
Khovanskiĭ, Askold; Timorin, Vladlen
10
2014
Newton polyhedra (resolution of singularities). Zbl 0544.14006
Khovanskiĭ, A. G.
7
1984
Sums of finite sets, orbits of commutative semigroups, and Hilbert functions. Zbl 0855.13011
Khovanskij, A. G.
7
1995
Toric geometry and Grothendieck residues. Zbl 1044.14029
Gelfond, O. A.; Khovanskii, A. G.
7
2002
Topological Galois theory. Solvability and unsolvability of equations in finite terms. Translated from the Russian by Valentina Kirichenko, Lucy Kadets and Vladen Timorin. Appendices C and D written jointly with Yura Burda. Translation based on the Russian original 2008. Zbl 1331.12001
Khovanskii, Askold
7
2014
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. Zbl 0597.51014
Khovanskij, A. G.
6
1986
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations. Zbl 0965.14025
Khovanskii, A.
6
1999
Three lectures on fewnomials and Noetherian intersections. Zbl 1055.14059
Khovanskii, A.
6
2003
Newton polyhedra and the Euler-Jacobi formula. Zbl 0449.14010
Khovanskij, A. G.
6
1978
Newton polytopes and irreducible components of complete intersections. Zbl 1370.14043
Khovanskii, A. G.
6
2016
On the rectification of circles. Zbl 0454.53001
Khovanskij, A. G.
5
1980
Topological obstructions to the representability of functions by quadratures. Zbl 1071.34521
Khovanskii, A. G.
5
1995
Newton polyhedra and the Euler-Jacobi formula. Zbl 0442.14020
Khovanskij, A. G.
5
1978
Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017
Khovanskij, Askol’d G.; Pukhlikov, Alexander V.
5
1993
Newton polytopes for horospherical spaces. Zbl 1270.14023
Kaveh, Kiumars; Khovanskii, A. G.
4
2011
Cycles of dynamical systems on the plane and Rolle’s theorem. Zbl 0581.14023
Khovanskij, A. G.
3
1984
Real Liouville functions. Zbl 0493.30004
Gel’fond, O. A.; Khovanskij, A. G.
3
1980
Newton polyhedron, Hilbert polynomial, and sums of finite sets. Zbl 0809.13012
Khovanskij, A. G.
3
1992
Index of a polynomial field. Zbl 0437.57012
Khovanskij, A. G.
3
1979
Moment polytopes, semigroup of representations and Kazarnovskii’s theorem. Zbl 1205.14059
Kaveh, Kiumars; Khovanskii, A. G.
3
2010
Complete intersections in spherical varieties. Zbl 1378.14050
Kaveh, Kiumars; Khovanskii, A. G.
3
2016
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
3
1990
Logarithmic functional and reciprocity laws. Zbl 1221.11151
Khovanskii, Askold
3
2008
The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Zbl 1104.13009
Khovanskii, A. G.; Chulkov, S. P.
3
2006
Note on the Grothendieck group of subspaces of rational functions and Shokurov’s Cartier \(b\)-divisors. Zbl 1325.14020
Kaveh, Kiumars; Khovanskii, A. G.
3
2014
Sur les racines complexes des systèmes d’équations algébriques comportant peu de termes. Zbl 0488.32001
Khovansky, Askold
2
1981
On the solvability and unsolvability of equations in explicit form. Zbl 1069.34133
Khovanskij, A. G.
2
2004
Index of a polynomial vector field. Zbl 0422.57009
Khovanskij, A. G.
2
1979
The representability of functions by quadratures. Zbl 0235.30007
Khovanskij, A. G.
2
1971
Tropical noetherity and Gröbner bases. Zbl 1329.13051
Kazarnovskiĭ, Boris Yakovlevich; Khovanskiĭ, Askold Georgievich
2
2015
Galois theory, coverings, and Riemann surfaces. Translated from the Russian by Valentina Kiritchenko and Vladlen Timorin. Zbl 1293.12001
Khovanskii, Askold
2
2013
Degree of rational mappings, and the theorems of Sturm and Tarski. Zbl 1159.14032
Khovanskii, A.; Burda, Y.
2
2008
Okounkov bodies and applications. Abstracts from the workshop held May 25–31, 2014. Zbl 1349.00183
1
2014
Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms. Zbl 0599.15009
Khovanskij, A. G.
1
1984
The resultant of developed systems of Laurent polynomials. Zbl 1411.14056
Khovanskii, A. G.; Monin, Leonid
1
2017
On algebraic functions integrable in finite terms. Zbl 1327.30047
Khovanskii, A. G.
1
2015
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 0546.58007
Arnol’d, V. I.; Varchenko, A. N.; Givental’, A. B.; Khovanskij, A. G.
1
1984
Newtonian polyhedra and Grothendieck residues. Zbl 0898.32004
Gel’fond, O. A.; Khovanskij, A. G.
1
1996
Rectification of circles. Zbl 0461.53002
Khovanskij, A. G.
1
1981
Abel’s theorem in problems and solutions. Based on the lectures of Professor V. I. Arnold. With a preface and an appendix by Arnold and an appendix by A. Khovanskii. Zbl 1065.12001
Alekseev, V. B.
1
2004
Newtonsche Polyeder und das Geschlecht vollständiger Durchschnitte. Zbl 0387.14012
Hovanskii, A. G.
1
1978
The principle of differential optimization in application to a one-product dynamic model of the economy. Zbl 0402.90025
Makarov, V. L.; Kantorovich, L. V.; Zhiyanov, V. I.; Khovanskii, A. G.
1
1978
Consistent partitions of polytopes and polynomial measures. Zbl 0890.52008
Khovanskij, A.
1
1997
Boundary indices of polynomial 1-forms with homogeneous components. Zbl 0990.37040
Khovanskij, A. G.
1
1998
The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable. Zbl 0219.14004
Khovanskij, A. G.
1
1970
Hilbert and Hilbert-Samuel polynomials and partial differential equations. Zbl 1075.35005
Khovanskii, A. G.; Chulkov, S. P.
1
2005
Three lectures on Newton polyhedra. Zbl 0992.14506
Khovanskii, A.
1
2001
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Geometry of the semigroup \(Z_{(\geq 0)}^n\) and its applications to combinatorics, algebra and differential equations. Translated by the first author (to appear). Zbl 06234389
Chulkov, Sergey; Khovanskii, Askold
1
2022
Completions of convex families of convex bodies. Zbl 1287.52010
Khovanskii, A. G.
1
2012
Branching data for algebraic functions and representability by radicals. Zbl 1268.12002
Burda, Y.; Khovanskii, A.
1
2011
Intersection theory and Hilbert function. Zbl 1271.13033
Khovanskii, A. G.
1
2011
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G.
1
2012
Mapping degree and Euler characteristic. Zbl 1109.58019
Fukui, T.; Khovanskii, A.
1
2006
An analog of determinant related to Parshin-Kato theory and integer polytopes. Zbl 1109.14036
Khovanskii, A. G.
1
2006
Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. Zbl 1151.14333
Khovanskii, Askold
1
2006
Geometry of the semigroup \(Z_{(\geq 0)}^n\) and its applications to combinatorics, algebra and differential equations. Translated by the first author (to appear). Zbl 06234389
Chulkov, Sergey; Khovanskii, Askold
1
2022
The resultant of developed systems of Laurent polynomials. Zbl 1411.14056
Khovanskii, A. G.; Monin, Leonid
1
2017
Newton polytopes and irreducible components of complete intersections. Zbl 1370.14043
Khovanskii, A. G.
6
2016
Complete intersections in spherical varieties. Zbl 1378.14050
Kaveh, Kiumars; Khovanskii, A. G.
3
2016
Tropical noetherity and Gröbner bases. Zbl 1329.13051
Kazarnovskiĭ, Boris Yakovlevich; Khovanskiĭ, Askold Georgievich
2
2015
On algebraic functions integrable in finite terms. Zbl 1327.30047
Khovanskii, A. G.
1
2015
Convex bodies and multiplicities of ideals. Zbl 1315.13013
Kaveh, Kiumars; Khovanskii, Askold
21
2014
On the theory of coconvex bodies. Zbl 1397.52003
Khovanskiĭ, Askold; Timorin, Vladlen
10
2014
Topological Galois theory. Solvability and unsolvability of equations in finite terms. Translated from the Russian by Valentina Kirichenko, Lucy Kadets and Vladen Timorin. Appendices C and D written jointly with Yura Burda. Translation based on the Russian original 2008. Zbl 1331.12001
Khovanskii, Askold
7
2014
Note on the Grothendieck group of subspaces of rational functions and Shokurov’s Cartier \(b\)-divisors. Zbl 1325.14020
Kaveh, Kiumars; Khovanskii, A. G.
3
2014
Okounkov bodies and applications. Abstracts from the workshop held May 25–31, 2014. Zbl 1349.00183
1
2014
Galois theory, coverings, and Riemann surfaces. Translated from the Russian by Valentina Kiritchenko and Vladlen Timorin. Zbl 1293.12001
Khovanskii, Askold
2
2013
Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory. Zbl 1270.14022
Kaveh, Kiumars; Khovanskii, A. G.
116
2012
Algebraic equations and convex bodies. Zbl 1316.52011
Kaveh, Kiumars; Khovanskii, Askold
23
2012
Convex bodies associated to actions of reductive groups. Zbl 1284.14061
Kaveh, Kiumars; Khovanskii, Askold G.
16
2012
Completions of convex families of convex bodies. Zbl 1287.52010
Khovanskii, A. G.
1
2012
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G.
1
2012
Newton polytopes for horospherical spaces. Zbl 1270.14023
Kaveh, Kiumars; Khovanskii, A. G.
4
2011
Branching data for algebraic functions and representability by radicals. Zbl 1268.12002
Burda, Y.; Khovanskii, A.
1
2011
Intersection theory and Hilbert function. Zbl 1271.13033
Khovanskii, A. G.
1
2011
Mixed volume and an extension of intersection theory of divisors. Zbl 1287.14001
Kaveh, Kiumars; Khovanskii, A. G.
11
2010
Moment polytopes, semigroup of representations and Kazarnovskii’s theorem. Zbl 1205.14059
Kaveh, Kiumars; Khovanskii, A. G.
3
2010
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Elimination theory and Newton polytopes. Zbl 1192.14038
Esterov, A.; Khovanskii, A.
16
2008
Logarithmic functional and reciprocity laws. Zbl 1221.11151
Khovanskii, Askold
3
2008
Degree of rational mappings, and the theorems of Sturm and Tarski. Zbl 1159.14032
Khovanskii, A.; Burda, Y.
2
2008
The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Zbl 1104.13009
Khovanskii, A. G.; Chulkov, S. P.
3
2006
Mapping degree and Euler characteristic. Zbl 1109.58019
Fukui, T.; Khovanskii, A.
1
2006
An analog of determinant related to Parshin-Kato theory and integer polytopes. Zbl 1109.14036
Khovanskii, A. G.
1
2006
Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. Zbl 1151.14333
Khovanskii, Askold
1
2006
Hilbert and Hilbert-Samuel polynomials and partial differential equations. Zbl 1075.35005
Khovanskii, A. G.; Chulkov, S. P.
1
2005
On the solvability and unsolvability of equations in explicit form. Zbl 1069.34133
Khovanskij, A. G.
2
2004
Abel’s theorem in problems and solutions. Based on the lectures of Professor V. I. Arnold. With a preface and an appendix by Arnold and an appendix by A. Khovanskii. Zbl 1065.12001
Alekseev, V. B.
1
2004
Three lectures on fewnomials and Noetherian intersections. Zbl 1055.14059
Khovanskii, A.
6
2003
Toric geometry and Grothendieck residues. Zbl 1044.14029
Gelfond, O. A.; Khovanskii, A. G.
7
2002
Three lectures on Newton polyhedra. Zbl 0992.14506
Khovanskii, A.
1
2001
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations. Zbl 0965.14025
Khovanskii, A.
6
1999
Multiplicity of a Noetherian intersection. Zbl 0916.32008
Gabrielov, Andrei; Khovanskii, Askold
12
1998
Boundary indices of polynomial 1-forms with homogeneous components. Zbl 0990.37040
Khovanskij, A. G.
1
1998
Consistent partitions of polytopes and polynomial measures. Zbl 0890.52008
Khovanskij, A.
1
1997
Branched covers of \(S^ 2\) and braid groups. Zbl 0865.57001
Khovanskij, A. G.; Zdravkovska, Smilka
11
1996
Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\). Zbl 0941.26009
Khovanskii, A.; Yakovenko, S.
10
1996
Newtonian polyhedra and Grothendieck residues. Zbl 0898.32004
Gel’fond, O. A.; Khovanskij, A. G.
1
1996
Sums of finite sets, orbits of commutative semigroups, and Hilbert functions. Zbl 0855.13011
Khovanskij, A. G.
7
1995
Topological obstructions to the representability of functions by quadratures. Zbl 1071.34521
Khovanskii, A. G.
5
1995
An application of the combinatorial Riemann-Roch theorem to the Ehrhart polynomial of integral polytopes in \(\mathbb{R}^ d\). (Une application du théorème de Riemann-Roch combinatoire au polynôme d’Ehrhart des polytopes entier de \(\mathbb{R}^ d\).) Zbl 0791.52012
Kantor, Jean-Michel; Khovanskij, Askold
19
1993
Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017
Khovanskij, Askol’d G.; Pukhlikov, Alexander V.
5
1993
A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010
Pukhlikov, A. V.; Khovanskii, A. G.
43
1992
Finitely additive measures of virtual polytopes. Zbl 0778.52006
Pukhlikov, A. V.; Khovanskij, A. G.
17
1992
Finitely additive measures of virtual polytopes. Zbl 0791.52010
Pukhlikov, A. V.; Khovanskij, A. G.
15
1992
Newton polyhedron, Hilbert polynomial, and sums of finite sets. Zbl 0809.13012
Khovanskij, A. G.
3
1992
Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002
Khovanskij, A. G.
24
1991
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
3
1990
Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Zbl 0669.14012
Danilov, V. I.; Khovanskij, A. G.
45
1987
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. Zbl 0597.51014
Khovanskij, A. G.
6
1986
Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012
Varchenko, A. N.; Khovanskij, A. G.
10
1985
Real analytic varieties with the finiteness property and complex abelian integrals. Zbl 0584.32016
Khovanskij, A. G.
31
1984
Fewnomials of Pfaff manifolds. Zbl 0586.51015
Khovanskiĭ, A. G.
29
1984
Newton polyhedra (resolution of singularities). Zbl 0544.14006
Khovanskiĭ, A. G.
7
1984
Cycles of dynamical systems on the plane and Rolle’s theorem. Zbl 0581.14023
Khovanskij, A. G.
3
1984
Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms. Zbl 0599.15009
Khovanskij, A. G.
1
1984
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 0546.58007
Arnol’d, V. I.; Varchenko, A. N.; Givental’, A. B.; Khovanskij, A. G.
1
1984
Sur les racines complexes des systèmes d’équations algébriques comportant peu de termes. Zbl 0488.32001
Khovansky, Askold
2
1981
Rectification of circles. Zbl 0461.53002
Khovanskij, A. G.
1
1981
A class of systems of transcendental equations. Zbl 0569.32004
Khovanskij, A. G.
21
1980
On the rectification of circles. Zbl 0454.53001
Khovanskij, A. G.
5
1980
Real Liouville functions. Zbl 0493.30004
Gel’fond, O. A.; Khovanskij, A. G.
3
1980
Index of a polynomial field. Zbl 0437.57012
Khovanskij, A. G.
3
1979
Index of a polynomial vector field. Zbl 0422.57009
Khovanskij, A. G.
2
1979
Newton polyhedra and toroidal varieties. Zbl 0445.14019
Khovanskii, A. G.
55
1978
Newton polyhedra and the genus of complete intersections. Zbl 0406.14035
Khovanskij, A. G.
39
1978
Newton polyhedra and the Euler-Jacobi formula. Zbl 0449.14010
Khovanskij, A. G.
6
1978
Newton polyhedra and the Euler-Jacobi formula. Zbl 0442.14020
Khovanskij, A. G.
5
1978
Newtonsche Polyeder und das Geschlecht vollständiger Durchschnitte. Zbl 0387.14012
Hovanskii, A. G.
1
1978
The principle of differential optimization in application to a one-product dynamic model of the economy. Zbl 0402.90025
Makarov, V. L.; Kantorovich, L. V.; Zhiyanov, V. I.; Khovanskii, A. G.
1
1978
Newton polyhedra. (Newtonsche Polyeder.) Zbl 0354.14001
Bernshteĭn, D. N.; Kushnirenko, A. G.; Khovanskiĭ, A. G.
10
1976
The representability of functions by quadratures. Zbl 0235.30007
Khovanskij, A. G.
2
1971
The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable. Zbl 0219.14004
Khovanskij, A. G.
1
1970
all top 5

Cited by 671 Authors

22 Khovanskiĭ, Askold Georgievich
11 Esterov, Alexander I.
11 Kaveh, Kiumars
10 Binyamini, Gal
9 Novikov, Dmitry
9 Sottile, Frank
8 Cutkosky, Steven Dale
8 Phạm Tiên So’n
7 Manon, Christopher
7 Yau, Stephen Shing-Toung
6 Bihan, Frédéric
6 Chen, Huayi
6 Fujita, Naoki
6 Küronya, Alex
6 Lion, Jean-Marie
6 Llibre, Jaume
6 Maclean, Catriona
6 Rousseau, Christiane
6 Takeuchi, Kiyoshi
5 Boucksom, Sébastien
5 Fourier, Ghislain
5 Harada, Megumi
5 Soprunov, Ivan
5 Vorob’ëv, Nikolaĭ N. jun.
4 Batyrev, Victor V.
4 Bossinger, Lara
4 Botero, Ana María
4 Braun, Andreas P.
4 Castryck, Wouter
4 Cools, Filip
4 Dinh, Si Tiep
4 Fang, Xin
4 Gabrielov, Andrei
4 Hà Huy Vui
4 Ilyashenko, Yulij Sergeevich
4 Jeronimo, Gabriela
4 Matsui, Yutaka
4 Moussu, Robert
4 Panina, Gaiane Yu.
4 Park, Jinhyung
4 Pukhlikov, Aleksandr Valentinovich
4 Robins, Sinai
4 Rojas, J. Maurice
4 Seppänen, Henrik
4 Timorin, Vladlen Anatol’evich
4 Vergne, Michèle
4 Yakovenko, Sergei
4 Yger, Alain
3 Alesker, Semyon
3 Bajbar, Tomáš
3 Beck, Matthias
3 Blum, Harold
3 Choi, Sung Rak
3 Dickenstein, Alicia M.
3 Douai, Antoine
3 Dumortier, Freddy
3 Eur, Christopher
3 Galindo Pastor, Carlos
3 Haase, Christian Alexander
3 Herrero, María Isabel
3 Karshon, Yael
3 Kiritchenko, Valentina
3 Lang, Lionel
3 Lasserre, Jean-Bernard
3 Leĭnartas, Evgeniĭ Konstantinovich
3 Littelmann, Peter
3 Lozovanu, Victor
3 Mavlyutov, Anvar R.
3 Monserrat, Francisco
3 Némethi, András
3 Petronio, Carlo
3 Pommersheim, James E.
3 Rashkovskii, Alexander
3 Risler, Jean-Jacques
3 Roche, Claude Andre
3 Roé, Joaquim
3 Sabia, Juan
3 Sarkar, Parangama
3 Schneider, Rolf G.
3 Shapiro, Boris Zalmanovich
3 Shishkina, Ol’ga Andreevna
3 Sperber, Steven I.
3 Stein, Oliver
3 Sternberg, Shlomo
3 Torregrosa, Joan
3 Valls Anglés, Cláudia
3 Weimann, Martin
3 Won, Joonyeong
3 Zuo, Huaiqing
2 Adolphson, Alan
2 Aluffi, Paolo
2 Antipova, Irina Avgustovna
2 Aĭzenberg, Anton Andreevich
2 Berenstein, Carlos Alberto
2 Bertrand, Benoît
2 Bonnard, Bernard
2 Brion, Michel
2 Brudnyi, Alexander
2 Bruno, Alexander Dmitrievich
2 Bukhshtaber, Viktor Matveevich
...and 571 more Authors
all top 5

Cited in 185 Serials

32 Advances in Mathematics
25 Annales de l’Institut Fourier
19 Journal of Symbolic Computation
17 Journal of Pure and Applied Algebra
17 Discrete & Computational Geometry
16 Mathematische Zeitschrift
15 Duke Mathematical Journal
13 Functional Analysis and its Applications
13 Arnold Mathematical Journal
12 Journal of Differential Equations
10 Selecta Mathematica. New Series
9 Compositio Mathematica
9 Journal of Siberian Federal University. Mathematics & Physics
8 Journal of Algebra
8 Proceedings of the Steklov Institute of Mathematics
7 Journal of Mathematical Analysis and Applications
7 Journal of Combinatorial Theory. Series A
7 Mathematische Annalen
7 Journal of the American Mathematical Society
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Israel Journal of Mathematics
6 Inventiones Mathematicae
6 Proceedings of the American Mathematical Society
6 Theoretical Computer Science
6 Transactions of the American Mathematical Society
6 Advances in Applied Mathematics
6 Journal of Mathematical Sciences (New York)
6 Journal of High Energy Physics
5 Journal of Number Theory
5 Geometric and Functional Analysis. GAFA
5 Bulletin of the American Mathematical Society. New Series
5 Qualitative Theory of Dynamical Systems
5 Advances in Geometry
4 Beiträge zur Algebra und Geometrie
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Geometriae Dedicata
4 Journal of Functional Analysis
4 Manuscripta Mathematica
4 IMRN. International Mathematics Research Notices
4 Journal of Knot Theory and its Ramifications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Transformation Groups
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Communications in Algebra
3 Communications in Mathematical Physics
3 Bulletin de la Société Mathématique de France
3 Michigan Mathematical Journal
3 Proceedings of the London Mathematical Society. Third Series
3 International Journal of Mathematics
3 Differential Geometry and its Applications
3 The Journal of Geometric Analysis
3 Journal of Algebraic Geometry
3 St. Petersburg Mathematical Journal
3 Finite Fields and their Applications
3 Izvestiya: Mathematics
3 Foundations of Computational Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematics in Computer Science
3 European Journal of Mathematics
3 SIAM Journal on Applied Algebra and Geometry
2 Mathematical Notes
2 Journal of Geometry and Physics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica Vietnamica
2 Annales Polonici Mathematici
2 Canadian Journal of Mathematics
2 Journal of Computer and System Sciences
2 Journal of the Mathematical Society of Japan
2 The Journal of Symbolic Logic
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Tokyo Journal of Mathematics
2 Topology and its Applications
2 European Journal of Combinatorics
2 Mathematical Programming. Series A. Series B
2 Applicable Algebra in Engineering, Communication and Computing
2 SIAM Journal on Optimization
2 Journal of Algebraic Combinatorics
2 Journal de Théorie des Nombres de Bordeaux
2 Integral Transforms and Special Functions
2 Electronic Research Announcements of the American Mathematical Society
2 Sbornik: Mathematics
2 Séminaire Lotharingien de Combinatoire
2 Doklady Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Conformal Geometry and Dynamics
2 Geometry & Topology
2 Revista Matemática Complutense
2 Journal of Dynamical and Control Systems
2 Central European Journal of Mathematics
2 Oberwolfach Reports
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Nonlinear Analysis. Theory, Methods & Applications
1 International Journal of Modern Physics A
1 Applicable Analysis
...and 85 more Serials
all top 5

Cited in 51 Fields

315 Algebraic geometry (14-XX)
143 Convex and discrete geometry (52-XX)
110 Several complex variables and analytic spaces (32-XX)
67 Commutative algebra (13-XX)
61 Ordinary differential equations (34-XX)
57 Number theory (11-XX)
49 Combinatorics (05-XX)
41 Dynamical systems and ergodic theory (37-XX)
35 Field theory and polynomials (12-XX)
34 Differential geometry (53-XX)
34 Global analysis, analysis on manifolds (58-XX)
27 Group theory and generalizations (20-XX)
27 Manifolds and cell complexes (57-XX)
25 Numerical analysis (65-XX)
25 Computer science (68-XX)
20 Mathematical logic and foundations (03-XX)
20 Functions of a complex variable (30-XX)
18 Real functions (26-XX)
16 Quantum theory (81-XX)
13 Special functions (33-XX)
10 Nonassociative rings and algebras (17-XX)
10 Geometry (51-XX)
9 Partial differential equations (35-XX)
9 Algebraic topology (55-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Mechanics of particles and systems (70-XX)
7 Operations research, mathematical programming (90-XX)
6 \(K\)-theory (19-XX)
6 Approximations and expansions (41-XX)
6 Operator theory (47-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Integral transforms, operational calculus (44-XX)
4 Associative rings and algebras (16-XX)
4 Measure and integration (28-XX)
4 Relativity and gravitational theory (83-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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