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Khovanskiĭ, Askold Georgievich

Author ID: khovanskii.askold-g Recent zbMATH articles by "Khovanskiĭ, Askold Georgievich"
Published as: Khovanskij, A. G.; Khovanskii, A. G.; Khovanskii, Askold; Khovanskii, A.; 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
Videos: carmin.tv
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Co-Authors

58 single-authored
15 Kaveh, Kiumars
10 Varchenko, Alexander Nikolaevich
7 Il’yashenko, Yuliĭ Sergeevich
7 Vasil’ev, Viktor Anatol’evich
6 Arnol’d, Vladimir Igorevich
6 Lando, Sergei K.
6 Monin, Leonid V.
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 Arlazarov, Vladimir L’vovich
3 Kazarnovskiĭ, Boris Yakovlevich
3 Kozlov, Valeriĭ Vasil’evich
3 Novikov, Dmitry
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 Kazaryan, Maxim Eduardovich
2 Khesin, Boris A.
2 Khovanskij, G. S.
2 Korkína, E. I.
2 Krasil’shchik, Joseph
2 Limonchenko, Ivan Yur’evich
2 Mnëv, Nikolai Evgen’evich
2 Panina, Gaiane Yu.
2 Scherbak, Inna
2 Semënov, Alekseĭ L’vovich
2 Timorin, Vladlen Anatol’evich
2 Tronsgard, Aaron
2 Tsfasman, Michael A.
2 Vershik, Anatoliĭ Moiseevich
2 Yakovenko, Sergei
2 Zhiyanov, V. I.
1 Abramov, Aleksandr Mikhailovich
1 Alekseev, Valeriĭ Borisovich
1 Anosov, Dmitriĭ Viktorovich
1 Aptekarev, Alexander Ivanovich
1 Bernshteĭn, D. N.
1 Berry, Michael
1 Bierstone, Edward
1 Bolsinov, Alexey V.
1 Braverman, Maxim
1 Bugaenko, V. O.
1 Burda, Yura
1 Cherkassky, Boris V.
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Chulkov, Sergey
1 Danilov, Vladimir I.
1 Dinitz, E. A.
1 Dorichenko, S. A.
1 Faradzhev, Igor Aleksandrovich
1 Friedlander, Leonid
1 Fuchs, Dmitry Borisovich
1 Fukui, Toshizumi
1 Gabrielov, Andrei
1 Galgani, Luigi
1 Glutsyuk, Alexey A.
1 Gorodetskii, Anton Semenovich
1 Gusein-Zade, Sabir M.
1 Hofscheier, Johannes
1 Imaikin, Valery
1 Ivrii, Victor Ja.
1 Kaloshin, Vadim Yu.
1 Kanel’-Belov, Alekseĭ Yakovlevich
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 Komarov, S. I.
1 Konstantinov, Nikolaĭ Nikolaevich
1 Kontsevich, Maxim
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 Kushnirenko, A. G.
1 Kuznetsov, Oleg P.
1 Lysov, Yu. P.
1 Makarov, Valeriĭ Leonidovich
1 Manin, Yuriĭ Ivanovich
1 Margulis, Grigoriĭ Aleksandrovich
1 Marsden, Jerrold Eldon
1 Maz’ya, Vladimir Gilelevich
1 Neĭshtadt, Anatoliĭ Iserovich
1 Nemirovskiĭ, Stefan Yur’evich
1 Okun, Lev B.
...and 24 more Co-Authors
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Serials

18 Functional Analysis and its Applications
12 Moscow Mathematical Journal
10 Russian Mathematical Surveys
5 Soviet Mathematics. Doklady
5 Arnold Mathematical Journal
4 Uspekhi Matematicheskikh Nauk [N. S.]
4 Siberian Mathematical Journal
4 St. Petersburg Mathematical Journal
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Sibirskiĭ Matematicheskiĭ Zhurnal
3 Proceedings of the Steklov Institute of Mathematics
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 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 Communications in Mathematics
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 1,286 times in 983 Documents Cited by Year
Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory. Zbl 1270.14022
Kaveh, Kiumars; Khovanskii, A. G.
184
2012
Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002
Khovanskij, A. G.
113
1991
Newton polyhedra and toroidal varieties. Zbl 0445.14019
Khovanskii, A. G.
93
1978
Newton polyhedra and the genus of complete intersections. Zbl 0406.14035
Khovanskij, A. G.
67
1978
A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010
Pukhlikov, A. V.; Khovanskii, A. G.
59
1992
Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Zbl 0669.14012
Danilov, V. I.; Khovanskij, A. G.
58
1987
Real analytic varieties with the finiteness property and complex abelian integrals. Zbl 0584.32016
Khovanskij, A. G.
44
1984
Fewnomials of Pfaff manifolds. Zbl 0586.51015
Khovanskiĭ, A. G.
39
1984
A class of systems of transcendental equations. Zbl 0569.32004
Khovanskiĭ, A. G.
38
1980
Algebraic equations and convex bodies. Zbl 1316.52011
Kaveh, Kiumars; Khovanskii, Askold
37
2012
Newtonsche Polyeder und das Geschlecht vollständiger Durchschnitte. Zbl 0387.14012
Hovanskii, A. G.
36
1978
Finitely additive measures of virtual polytopes. Zbl 0791.52010
Pukhlikov, A. V.; Khovanskij, A. G.
34
1992
Convex bodies and multiplicities of ideals. Zbl 1315.13013
Kaveh, Kiumars; Khovanskii, Askold
29
2014
Newton polyhedron, Hilbert polynomial, and sums of finite sets. Zbl 0809.13012
Khovanskij, A. G.
28
1992
Newton polyhedra. (Newtonsche Polyeder.) Zbl 0354.14001
Bernshteĭn, D. N.; Kushnirenko, A. G.; Khovanskiĭ, A. G.
23
1976
Finitely additive measures of virtual polytopes. Zbl 0778.52006
Pukhlikov, A. V.; Khovanskij, A. G.
22
1992
Elimination theory and Newton polytopes. Zbl 1192.14038
Esterov, A.; Khovanskii, A.
21
2008
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
20
1993
Convex bodies associated to actions of reductive groups. Zbl 1284.14061
Kaveh, Kiumars; Khovanskii, Askold G.
18
2012
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. Zbl 0597.51014
Khovanskij, A. G.
17
1986
Multiplicity of a Noetherian intersection. Zbl 0916.32008
Gabrielov, Andrei; Khovanskii, Askold
16
1998
Branched covers of \(S^ 2\) and braid groups. Zbl 0865.57001
Khovanskij, A. G.; Zdravkovska, Smilka
15
1996
Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012
Varchenko, A. N.; Khovanskij, A. G.
14
1985
Mixed volume and an extension of intersection theory of divisors. Zbl 1287.14001
Kaveh, Kiumars; Khovanskii, A. G.
14
2010
On the theory of coconvex bodies. Zbl 1397.52003
Khovanskiĭ, Askold; Timorin, Vladlen
13
2014
Sums of finite sets, orbits of commutative semigroups, and Hilbert functions. Zbl 0855.13011
Khovanskij, A. G.
11
1995
Index of a polynomial vector field. Zbl 0422.57009
Khovanskij, A. G.
11
1979
Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\). Zbl 0941.26009
Khovanskii, A.; Yakovenko, S.
11
1996
Newton polyhedra (resolution of singularities). Zbl 0544.14006
Khovanskiĭ, A. G.
10
1984
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
9
2014
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
9
1990
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations. Zbl 0965.14025
Khovanskii, A.
8
1999
Newton polytopes and irreducible components of complete intersections. Zbl 1370.14043
Khovanskii, A. G.
8
2016
Toric geometry and Grothendieck residues. Zbl 1044.14029
Gelfond, O. A.; Khovanskii, A. G.
8
2002
Newton polyhedra and the Euler-Jacobi formula. Zbl 0442.14020
Khovanskij, A. G.
6
1978
Newton polyhedra and the Euler-Jacobi formula. Zbl 0449.14010
Khovanskij, A. G.
6
1978
Three lectures on fewnomials and Noetherian intersections. Zbl 1055.14059
Khovanskii, A.
6
2003
Index of a polynomial field. Zbl 0437.57012
Khovanskij, A. G.
5
1979
On the rectification of circles. Zbl 0454.53001
Khovanskij, A. G.
5
1980
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.
5
2004
Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017
Khovanskij, Askol’d G.; Pukhlikov, Alexander V.
5
1993
Topological obstructions to the representability of functions by quadratures. Zbl 1071.34521
Khovanskii, A. G.
5
1995
Complete intersections in spherical varieties. Zbl 1378.14050
Kaveh, Kiumars; Khovanskii, A. G.
5
2016
Newton polytopes and tropical geometry. Zbl 1476.14087
Kazarnovskii, Boris Ya; Khovanskii, Askold G.; Esterov, Alexander I.
5
2021
Newton polytopes for horospherical spaces. Zbl 1270.14023
Kaveh, Kiumars; Khovanskii, A. G.
5
2011
On the solvability and unsolvability of equations in explicit form. Zbl 1069.34133
Khovanskij, A. G.
4
2004
Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. Zbl 1151.14333
Khovanskii, Askold
4
2006
The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Zbl 1104.13009
Khovanskii, A. G.; Chulkov, S. P.
4
2006
Sur les racines complexes des systèmes d’équations algébriques comportant peu de termes. Zbl 0488.32001
Khovansky, Askold
4
1981
Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms. Zbl 0599.15009
Khovanskij, A. G.
4
1984
Note on the Grothendieck group of subspaces of rational functions and Shokurov’s Cartier \(b\)-divisors. Zbl 1325.14020
Kaveh, Kiumars; Khovanskii, A. G.
4
2014
Cycles of dynamical systems on the plane and Rolle’s theorem. Zbl 0581.14023
Khovanskij, A. G.
4
1984
Degree of rational mappings, and the theorems of Sturm and Tarski. Zbl 1159.14032
Khovanskii, A.; Burda, Y.
3
2008
Real Liouville functions. Zbl 0493.30004
Gel’fond, O. A.; Khovanskij, A. G.
3
1980
Logarithmic functional and reciprocity laws. Zbl 1221.11151
Khovanskii, Askold
3
2008
The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable. Zbl 0219.14004
Khovanskij, A. G.
3
1970
Geometry of differential equations. Dedicated to V. I. Arnold on the occasion of his 60th birthday. Zbl 0896.00014
3
1998
Moment polytopes, semigroup of representations and Kazarnovskii’s theorem. Zbl 1205.14059
Kaveh, Kiumars; Khovanskii, A. G.
3
2010
The resultant of developed systems of Laurent polynomials. Zbl 1411.14056
Khovanskii, A. G.; Monin, Leonid
3
2017
Über reelle Liouvillesche Funktionen. Zbl 0468.30006
Gel’fond, O. A.; Khovanskij, A. G.
2
1980
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
Completions of convex families of convex bodies. Zbl 1287.52010
Khovanskii, A. G.
2
2012
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.
2
1984
Galois theory, coverings, and Riemann surfaces. Translated from the Russian by Valentina Kiritchenko and Vladlen Timorin. Zbl 1293.12001
Khovanskii, Askold
2
2013
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G.
2
2012
Three lectures on Newton polyhedra. Zbl 0992.14506
Khovanskii, A.
2
2001
On algebraic functions integrable in finite terms. Zbl 1327.30047
Khovanskii, A. G.
2
2015
Integrability in finite terms and actions of Lie groups. Zbl 1473.12007
Khovanskii, Askold
2
2019
Rectification of circles. Zbl 0461.53002
Khovanskij, A. G.
1
1981
Hilbert and Hilbert-Samuel polynomials and partial differential equations. Zbl 1075.35005
Khovanskii, A. G.; Chulkov, S. P.
1
2005
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
An analog of determinant related to Parshin-Kato theory and integer polytopes. Zbl 1109.14036
Khovanskii, A. G.
1
2006
On the superposition of holomorphic functions with radicals. Zbl 0221.32001
Hovanskij, A. G.
1
1971
Boundary indices of polynomial 1-forms with homogeneous components. Zbl 0990.37040
Khovanskij, A. G.
1
1998
Preface to “Topics in singularity theory”. Zbl 0900.58002
Khovanskij, A.; Varchenko, A.; Vassiliev, V.
1
1997
Consistent partitions of polytopes and polynomial measures. Zbl 0890.52008
Khovanskij, A.
1
1997
Newtonian polyhedra and Grothendieck residues. Zbl 0898.32004
Gel’fond, O. A.; Khovanskij, A. G.
1
1996
Polynomials invertible in \(k\)-radicals. Zbl 1393.12004
Burda, Y.; Khovanskii, A.
1
2016
Okounkov bodies and applications. Abstracts from the workshop held May 25–31, 2014. Zbl 1349.00183
1
2014
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
2027
Intersection theory and Hilbert function. Zbl 1271.13033
Khovanskii, A. G.
1
2011
Branching data for algebraic functions and representability by radicals. Zbl 1268.12002
Burda, Y.; Khovanskii, A.
1
2011
Mapping degree and Euler characteristic. Zbl 1109.58019
Fukui, T.; Khovanskii, A.
1
2006
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
Variations on the theme of solvability by radicals. Zbl 1182.30009
Khovanskii, A. G.
1
2007
Intersections of hypersurfaces and ring of conditions of a spherical homogeneous space. Zbl 1439.14148
Kaveh, Kiumars; Khovanskii, Askold G.
1
2020
Solvability of equations by quadratures and Newton’s theorem. Zbl 1423.12006
Khovanskii, Askold
1
2018
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
2027
Newton polytopes and tropical geometry. Zbl 1476.14087
Kazarnovskii, Boris Ya; Khovanskii, Askold G.; Esterov, Alexander I.
5
2021
Intersections of hypersurfaces and ring of conditions of a spherical homogeneous space. Zbl 1439.14148
Kaveh, Kiumars; Khovanskii, Askold G.
1
2020
Integrability in finite terms and actions of Lie groups. Zbl 1473.12007
Khovanskii, Askold
2
2019
Solvability of equations by quadratures and Newton’s theorem. Zbl 1423.12006
Khovanskii, Askold
1
2018
The resultant of developed systems of Laurent polynomials. Zbl 1411.14056
Khovanskii, A. G.; Monin, Leonid
3
2017
Newton polytopes and irreducible components of complete intersections. Zbl 1370.14043
Khovanskii, A. G.
8
2016
Complete intersections in spherical varieties. Zbl 1378.14050
Kaveh, Kiumars; Khovanskii, A. G.
5
2016
Polynomials invertible in \(k\)-radicals. Zbl 1393.12004
Burda, Y.; Khovanskii, A.
1
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.
2
2015
Convex bodies and multiplicities of ideals. Zbl 1315.13013
Kaveh, Kiumars; Khovanskii, Askold
29
2014
On the theory of coconvex bodies. Zbl 1397.52003
Khovanskiĭ, Askold; Timorin, Vladlen
13
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
9
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.
4
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.
184
2012
Algebraic equations and convex bodies. Zbl 1316.52011
Kaveh, Kiumars; Khovanskii, Askold
37
2012
Convex bodies associated to actions of reductive groups. Zbl 1284.14061
Kaveh, Kiumars; Khovanskii, Askold G.
18
2012
Completions of convex families of convex bodies. Zbl 1287.52010
Khovanskii, A. G.
2
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.
2
2012
Newton polytopes for horospherical spaces. Zbl 1270.14023
Kaveh, Kiumars; Khovanskii, A. G.
5
2011
Intersection theory and Hilbert function. Zbl 1271.13033
Khovanskii, A. G.
1
2011
Branching data for algebraic functions and representability by radicals. Zbl 1268.12002
Burda, Y.; Khovanskii, A.
1
2011
Mixed volume and an extension of intersection theory of divisors. Zbl 1287.14001
Kaveh, Kiumars; Khovanskii, A. G.
14
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.
21
2008
Degree of rational mappings, and the theorems of Sturm and Tarski. Zbl 1159.14032
Khovanskii, A.; Burda, Y.
3
2008
Logarithmic functional and reciprocity laws. Zbl 1221.11151
Khovanskii, Askold
3
2008
Variations on the theme of solvability by radicals. Zbl 1182.30009
Khovanskii, A. G.
1
2007
Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. Zbl 1151.14333
Khovanskii, Askold
4
2006
The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Zbl 1104.13009
Khovanskii, A. G.; Chulkov, S. P.
4
2006
An analog of determinant related to Parshin-Kato theory and integer polytopes. Zbl 1109.14036
Khovanskii, A. G.
1
2006
Mapping degree and Euler characteristic. Zbl 1109.58019
Fukui, T.; Khovanskii, A.
1
2006
Hilbert and Hilbert-Samuel polynomials and partial differential equations. Zbl 1075.35005
Khovanskii, A. G.; Chulkov, S. P.
1
2005
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.
5
2004
On the solvability and unsolvability of equations in explicit form. Zbl 1069.34133
Khovanskij, A. G.
4
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.
8
2002
Three lectures on Newton polyhedra. Zbl 0992.14506
Khovanskii, A.
2
2001
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations. Zbl 0965.14025
Khovanskii, A.
8
1999
Multiplicity of a Noetherian intersection. Zbl 0916.32008
Gabrielov, Andrei; Khovanskii, Askold
16
1998
Geometry of differential equations. Dedicated to V. I. Arnold on the occasion of his 60th birthday. Zbl 0896.00014
3
1998
Boundary indices of polynomial 1-forms with homogeneous components. Zbl 0990.37040
Khovanskij, A. G.
1
1998
Preface to “Topics in singularity theory”. Zbl 0900.58002
Khovanskij, A.; Varchenko, A.; Vassiliev, V.
1
1997
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
15
1996
Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\). Zbl 0941.26009
Khovanskii, A.; Yakovenko, S.
11
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.
11
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
20
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.
59
1992
Finitely additive measures of virtual polytopes. Zbl 0791.52010
Pukhlikov, A. V.; Khovanskij, A. G.
34
1992
Newton polyhedron, Hilbert polynomial, and sums of finite sets. Zbl 0809.13012
Khovanskij, A. G.
28
1992
Finitely additive measures of virtual polytopes. Zbl 0778.52006
Pukhlikov, A. V.; Khovanskij, A. G.
22
1992
Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002
Khovanskij, A. G.
113
1991
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
9
1990
Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Zbl 0669.14012
Danilov, V. I.; Khovanskij, A. G.
58
1987
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. Zbl 0597.51014
Khovanskij, A. G.
17
1986
Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012
Varchenko, A. N.; Khovanskij, A. G.
14
1985
Real analytic varieties with the finiteness property and complex abelian integrals. Zbl 0584.32016
Khovanskij, A. G.
44
1984
Fewnomials of Pfaff manifolds. Zbl 0586.51015
Khovanskiĭ, A. G.
39
1984
Newton polyhedra (resolution of singularities). Zbl 0544.14006
Khovanskiĭ, A. G.
10
1984
Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms. Zbl 0599.15009
Khovanskij, A. G.
4
1984
Cycles of dynamical systems on the plane and Rolle’s theorem. Zbl 0581.14023
Khovanskij, A. G.
4
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.
2
1984
Sur les racines complexes des systèmes d’équations algébriques comportant peu de termes. Zbl 0488.32001
Khovansky, Askold
4
1981
Rectification of circles. Zbl 0461.53002
Khovanskij, A. G.
1
1981
A class of systems of transcendental equations. Zbl 0569.32004
Khovanskiĭ, A. G.
38
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
Über reelle Liouvillesche Funktionen. Zbl 0468.30006
Gel’fond, O. A.; Khovanskij, A. G.
2
1980
Index of a polynomial vector field. Zbl 0422.57009
Khovanskij, A. G.
11
1979
Index of a polynomial field. Zbl 0437.57012
Khovanskij, A. G.
5
1979
Newton polyhedra and toroidal varieties. Zbl 0445.14019
Khovanskii, A. G.
93
1978
Newton polyhedra and the genus of complete intersections. Zbl 0406.14035
Khovanskij, A. G.
67
1978
Newtonsche Polyeder und das Geschlecht vollständiger Durchschnitte. Zbl 0387.14012
Hovanskii, A. G.
36
1978
Newton polyhedra and the Euler-Jacobi formula. Zbl 0442.14020
Khovanskij, A. G.
6
1978
Newton polyhedra and the Euler-Jacobi formula. Zbl 0449.14010
Khovanskij, A. G.
6
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.
23
1976
The representability of functions by quadratures. Zbl 0235.30007
Khovanskij, A. G.
2
1971
On the superposition of holomorphic functions with radicals. Zbl 0221.32001
Hovanskij, A. G.
1
1971
The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable. Zbl 0219.14004
Khovanskij, A. G.
3
1970
all top 5

Cited by 1,079 Authors

26 Khovanskiĭ, Askold Georgievich
15 Kaveh, Kiumars
13 Novikov, Dmitry
12 Binyamini, Gal
12 Sottile, Frank
12 Yau, Stephen Shing-Toung
11 Cutkosky, Steven Dale
11 Esterov, Alexander I.
11 Llibre, Jaume
10 Fujita, Naoki
9 Manon, Christopher
9 Rojas, J. Maurice
9 Vorob’ëv, Nikolaĭ N. jun.
9 Zuo, Huaiqing
8 Fang, Xin
8 Küronya, Alex
8 Lang, Lionel
8 Phạm Tiên So’n
8 Rousseau, Christiane
7 Chen, Huayi
7 Glutsyuk, Alexey A.
7 Grigor’ev, Dmitriĭ Yur’evich
7 Jeronimo, Gabriela
7 Littelmann, Peter
7 Maclean, Catriona
7 Soprunov, Ivan
7 Takeuchi, Kiyoshi
7 Valls Anglés, Cláudia
6 Batyrev, Victor V.
6 Bihan, Frédéric
6 Dickenstein, Alicia M.
6 Lion, Jean-Marie
6 Monin, Leonid V.
6 Park, Jinhyung
6 Roé, Joaquim
6 Sabia, Juan
6 Yakovenko, Sergei
6 Yomdin, Yosef
5 Alesker, Semyon
5 Blum, Harold
5 Bossinger, Lara
5 Botero, Ana María
5 Boucksom, Sébastien
5 Castryck, Wouter
5 Choi, Sung Rak
5 Cid-Ruiz, Yairon
5 Emiris, Ioannis Z.
5 Fourier, Ghislain
5 Gasull, Armengol
5 Harada, Megumi
5 Hussain, Naveed
5 Leĭnartas, Evgeniĭ Konstantinovich
5 Moussu, Robert
5 Némethi, András
5 Panina, Gaiane Yu.
5 Petronio, Carlo
5 Stapledon, Alan
5 Weimann, Martin
5 Won, Joonyeong
4 Braun, Andreas P.
4 Cools, Filip
4 Dinh, Si Tiep
4 El Hilany, Boulos
4 Eur, Christopher
4 Gabrielov, Andrei
4 Galindo Pastor, Carlos
4 Hà Huy Vui
4 Haase, Christian Alexander
4 Hajto, Zbigniew
4 Hauenstein, Jonathan D.
4 Herrero, María Isabel
4 Ilten, Nathan Owen
4 Il’yashenko, Yuliĭ Sergeevich
4 Kazarnovskiĭ, Boris Yakovlevich
4 Kiritchenko, Valentina
4 Liu, Yuchen
4 Lyapin, Alexander Petrovich
4 Malajovich, Gregorio
4 Matsui, Yutaka
4 Mehta, Dhagash
4 Monserrat, Francisco
4 Nathanson, Melvyn Bernard
4 Pukhlikov, Aleksandr Valentinovich
4 Robins, Sinai
4 Sanz Sánchez, Fernando
4 Schaller, Karin
4 Schneider, Rolf G.
4 Seppänen, Henrik
4 Shapiro, Boris Zalmanovich
4 Timorin, Vladlen Anatol’evich
4 Tsigaridas, Elias P.
4 van der Hoeven, Joris
4 Vergne, Michèle
4 Yger, Alain
3 Aluffi, Paolo
3 Aroca, Fuensanta
3 Aĭzenberg, Anton Andreevich
3 Bajbar, Tomáš
3 Barbagallo, María Laura
3 Beck, Matthias
...and 979 more Authors
all top 5

Cited in 269 Serials

42 Advances in Mathematics
28 Annales de l’Institut Fourier
24 Mathematische Zeitschrift
23 Journal of Symbolic Computation
21 Discrete & Computational Geometry
20 Arnold Mathematical Journal
19 Duke Mathematical Journal
19 Journal of Algebra
18 Journal of Pure and Applied Algebra
18 Journal of High Energy Physics
15 Functional Analysis and its Applications
15 Journal of Differential Equations
14 Proceedings of the American Mathematical Society
14 Selecta Mathematica. New Series
14 Proceedings of the Steklov Institute of Mathematics
13 Mathematische Annalen
11 Compositio Mathematica
11 Theoretical Computer Science
11 Journal of Siberian Federal University. Mathematics & Physics
10 Foundations of Computational Mathematics
9 Journal of Mathematical Analysis and Applications
9 Transactions of the American Mathematical Society
9 Advances in Applied Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Inventiones Mathematicae
8 Journal of Combinatorial Theory. Series A
8 Manuscripta Mathematica
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of Mathematical Sciences (New York)
8 Qualitative Theory of Dynamical Systems
8 SIAM Journal on Applied Algebra and Geometry
7 Israel Journal of Mathematics
7 Journal of Functional Analysis
7 Journal of the London Mathematical Society. Second Series
7 Journal of the American Mathematical Society
6 Geometriae Dedicata
6 Journal of Number Theory
6 Proceedings of the London Mathematical Society. Third Series
5 Beiträge zur Algebra und Geometrie
5 Bulletin de la Société Mathématique de France
5 Michigan Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Bulletin of the American Mathematical Society. New Series
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Algebraic Geometry
5 Séminaire Lotharingien de Combinatoire
5 Transformation Groups
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Dynamical and Control Systems
5 Advances in Geometry
5 Oberwolfach Reports
4 Communications in Algebra
4 Journal of Geometry and Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Canadian Journal of Mathematics
4 Journal of Computer and System Sciences
4 Mathematische Nachrichten
4 Topology and its Applications
4 Journal of Complexity
4 Revista Matemática Iberoamericana
4 International Journal of Mathematics
4 IMRN. International Mathematics Research Notices
4 Applicable Algebra in Engineering, Communication and Computing
4 Journal of Knot Theory and its Ramifications
4 Izvestiya: Mathematics
4 Geometry & Topology
4 Revista Matemática Complutense
4 Annals of Mathematics. Second Series
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Mathematics in Computer Science
4 Forum of Mathematics, Pi
4 European Journal of Mathematics
3 Communications in Mathematical Physics
3 Nonlinearity
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica Vietnamica
3 Annales Polonici Mathematici
3 Bulletin of the London Mathematical Society
3 Journal of the Mathematical Society of Japan
3 Results in Mathematics
3 European Journal of Combinatorics
3 Annals of Pure and Applied Logic
3 Physica D
3 Differential Geometry and its Applications
3 The Journal of Geometric Analysis
3 Linear Algebra and its Applications
3 Journal of Algebraic Combinatorics
3 Journal de Théorie des Nombres de Bordeaux
3 St. Petersburg Mathematical Journal
3 Finite Fields and their Applications
3 Sbornik: Mathematics
3 Moscow Mathematical Journal
3 Central European Journal of Mathematics
3 Research in the Mathematical Sciences
2 American Mathematical Monthly
2 Journal d’Analyse Mathématique
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Mathematics of Computation
...and 169 more Serials
all top 5

Cited in 56 Fields

518 Algebraic geometry (14-XX)
226 Convex and discrete geometry (52-XX)
169 Several complex variables and analytic spaces (32-XX)
123 Commutative algebra (13-XX)
101 Number theory (11-XX)
99 Ordinary differential equations (34-XX)
84 Combinatorics (05-XX)
64 Dynamical systems and ergodic theory (37-XX)
62 Computer science (68-XX)
60 Differential geometry (53-XX)
46 Group theory and generalizations (20-XX)
44 Field theory and polynomials (12-XX)
43 Manifolds and cell complexes (57-XX)
41 Global analysis, analysis on manifolds (58-XX)
37 Numerical analysis (65-XX)
37 Quantum theory (81-XX)
36 Mathematical logic and foundations (03-XX)
29 Real functions (26-XX)
24 Nonassociative rings and algebras (17-XX)
23 Functions of a complex variable (30-XX)
18 Operations research, mathematical programming (90-XX)
17 Geometry (51-XX)
16 Special functions (33-XX)
13 Algebraic topology (55-XX)
11 Associative rings and algebras (16-XX)
11 Partial differential equations (35-XX)
9 Mechanics of particles and systems (70-XX)
9 Relativity and gravitational theory (83-XX)
9 Biology and other natural sciences (92-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Operator theory (47-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Approximations and expansions (41-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 General and overarching topics; collections (00-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 \(K\)-theory (19-XX)
6 Topological groups, Lie groups (22-XX)
6 Integral transforms, operational calculus (44-XX)
6 Probability theory and stochastic processes (60-XX)
5 Measure and integration (28-XX)
5 Difference and functional equations (39-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Sequences, series, summability (40-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Category theory; homological algebra (18-XX)
3 Functional analysis (46-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Potential theory (31-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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