Edit Profile (opens in new tab) Khovanskiĭ, Askold Georgievich Compute Distance To: Compute Author ID: khovanskii.askold-g 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 Documents Indexed: 116 Publications since 1970, including 5 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 106 Co-Authors with 69 Joint Publications 3,149 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 58 Algebraic geometry (14-XX) 25 Convex and discrete geometry (52-XX) 22 Several complex variables and analytic spaces (32-XX) 19 Field theory and polynomials (12-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 History and biography (01-XX) 12 Ordinary differential equations (34-XX) 9 Commutative algebra (13-XX) 9 Functions of a complex variable (30-XX) 8 Manifolds and cell complexes (57-XX) 7 Group theory and generalizations (20-XX) 7 Differential geometry (53-XX) 6 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 1270.14022Kaveh, Kiumars; Khovanskii, A. G. 116 2012 Newton polyhedra and toroidal varieties. Zbl 0445.14019Khovanskii, A. G. 55 1978 Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Zbl 0669.14012Danilov, V. I.; Khovanskij, A. G. 45 1987 A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010Pukhlikov, A. V.; Khovanskii, A. G. 43 1992 Newton polyhedra and the genus of complete intersections. Zbl 0406.14035Khovanskij, A. G. 39 1978 Real analytic varieties with the finiteness property and complex abelian integrals. Zbl 0584.32016Khovanskij, A. G. 31 1984 Fewnomials of Pfaff manifolds. Zbl 0586.51015Khovanskiĭ, A. G. 29 1984 Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002Khovanskij, A. G. 24 1991 Algebraic equations and convex bodies. Zbl 1316.52011Kaveh, Kiumars; Khovanskii, Askold 23 2012 A class of systems of transcendental equations. Zbl 0569.32004Khovanskij, A. G. 21 1980 Convex bodies and multiplicities of ideals. Zbl 1315.13013Kaveh, 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 0791.52012Kantor, Jean-Michel; Khovanskij, Askold 19 1993 Finitely additive measures of virtual polytopes. Zbl 0778.52006Pukhlikov, A. V.; Khovanskij, A. G. 17 1992 Elimination theory and Newton polytopes. Zbl 1192.14038Esterov, A.; Khovanskii, A. 16 2008 Convex bodies associated to actions of reductive groups. Zbl 1284.14061Kaveh, Kiumars; Khovanskii, Askold G. 16 2012 Finitely additive measures of virtual polytopes. Zbl 0791.52010Pukhlikov, A. V.; Khovanskij, A. G. 15 1992 Multiplicity of a Noetherian intersection. Zbl 0916.32008Gabrielov, Andrei; Khovanskii, Askold 12 1998 Branched covers of \(S^ 2\) and braid groups. Zbl 0865.57001Khovanskij, A. G.; Zdravkovska, Smilka 11 1996 Mixed volume and an extension of intersection theory of divisors. Zbl 1287.14001Kaveh, Kiumars; Khovanskii, A. G. 11 2010 Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012Varchenko, A. N.; Khovanskij, A. G. 10 1985 Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\). Zbl 0941.26009Khovanskii, A.; Yakovenko, S. 10 1996 Newton polyhedra. (Newtonsche Polyeder.) Zbl 0354.14001Bernshteĭn, D. N.; Kushnirenko, A. G.; Khovanskiĭ, A. G. 10 1976 On the theory of coconvex bodies. Zbl 1397.52003Khovanskiĭ, Askold; Timorin, Vladlen 10 2014 Newton polyhedra (resolution of singularities). Zbl 0544.14006Khovanskiĭ, A. G. 7 1984 Sums of finite sets, orbits of commutative semigroups, and Hilbert functions. Zbl 0855.13011Khovanskij, A. G. 7 1995 Toric geometry and Grothendieck residues. Zbl 1044.14029Gelfond, 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 1331.12001Khovanskii, Askold 7 2014 Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. Zbl 0597.51014Khovanskij, A. G. 6 1986 Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations. Zbl 0965.14025Khovanskii, A. 6 1999 Three lectures on fewnomials and Noetherian intersections. Zbl 1055.14059Khovanskii, A. 6 2003 Newton polyhedra and the Euler-Jacobi formula. Zbl 0449.14010Khovanskij, A. G. 6 1978 Newton polytopes and irreducible components of complete intersections. Zbl 1370.14043Khovanskii, A. G. 6 2016 On the rectification of circles. Zbl 0454.53001Khovanskij, A. G. 5 1980 Topological obstructions to the representability of functions by quadratures. Zbl 1071.34521Khovanskii, A. G. 5 1995 Newton polyhedra and the Euler-Jacobi formula. Zbl 0442.14020Khovanskij, A. G. 5 1978 Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017Khovanskij, Askol’d G.; Pukhlikov, Alexander V. 5 1993 Newton polytopes for horospherical spaces. Zbl 1270.14023Kaveh, Kiumars; Khovanskii, A. G. 4 2011 Cycles of dynamical systems on the plane and Rolle’s theorem. Zbl 0581.14023Khovanskij, A. G. 3 1984 Real Liouville functions. Zbl 0493.30004Gel’fond, O. A.; Khovanskij, A. G. 3 1980 Newton polyhedron, Hilbert polynomial, and sums of finite sets. Zbl 0809.13012Khovanskij, A. G. 3 1992 Index of a polynomial field. Zbl 0437.57012Khovanskij, A. G. 3 1979 Moment polytopes, semigroup of representations and Kazarnovskii’s theorem. Zbl 1205.14059Kaveh, Kiumars; Khovanskii, A. G. 3 2010 Complete intersections in spherical varieties. Zbl 1378.14050Kaveh, Kiumars; Khovanskii, A. G. 3 2016 Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013Il’yashenko, Yu. S.; Khovanskij, A. G. 3 1990 Logarithmic functional and reciprocity laws. Zbl 1221.11151Khovanskii, Askold 3 2008 The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Zbl 1104.13009Khovanskii, A. G.; Chulkov, S. P. 3 2006 Note on the Grothendieck group of subspaces of rational functions and Shokurov’s Cartier \(b\)-divisors. Zbl 1325.14020Kaveh, Kiumars; Khovanskii, A. G. 3 2014 Sur les racines complexes des systèmes d’équations algébriques comportant peu de termes. Zbl 0488.32001Khovansky, Askold 2 1981 On the solvability and unsolvability of equations in explicit form. Zbl 1069.34133Khovanskij, A. G. 2 2004 Index of a polynomial vector field. Zbl 0422.57009Khovanskij, A. G. 2 1979 The representability of functions by quadratures. Zbl 0235.30007Khovanskij, A. G. 2 1971 Tropical noetherity and Gröbner bases. Zbl 1329.13051Kazarnovskiĭ, Boris Yakovlevich; Khovanskiĭ, Askold Georgievich 2 2015 Galois theory, coverings, and Riemann surfaces. Translated from the Russian by Valentina Kiritchenko and Vladlen Timorin. Zbl 1293.12001Khovanskii, Askold 2 2013 Degree of rational mappings, and the theorems of Sturm and Tarski. Zbl 1159.14032Khovanskii, 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 0599.15009Khovanskij, A. G. 1 1984 The resultant of developed systems of Laurent polynomials. Zbl 1411.14056Khovanskii, A. G.; Monin, Leonid 1 2017 On algebraic functions integrable in finite terms. Zbl 1327.30047Khovanskii, A. G. 1 2015 Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 0546.58007Arnol’d, V. I.; Varchenko, A. N.; Givental’, A. B.; Khovanskij, A. G. 1 1984 Newtonian polyhedra and Grothendieck residues. Zbl 0898.32004Gel’fond, O. A.; Khovanskij, A. G. 1 1996 Rectification of circles. Zbl 0461.53002Khovanskij, 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 1065.12001Alekseev, V. B. 1 2004 Newtonsche Polyeder und das Geschlecht vollständiger Durchschnitte. Zbl 0387.14012Hovanskii, A. G. 1 1978 The principle of differential optimization in application to a one-product dynamic model of the economy. Zbl 0402.90025Makarov, V. L.; Kantorovich, L. V.; Zhiyanov, V. I.; Khovanskii, A. G. 1 1978 Consistent partitions of polytopes and polynomial measures. Zbl 0890.52008Khovanskij, A. 1 1997 Boundary indices of polynomial 1-forms with homogeneous components. Zbl 0990.37040Khovanskij, A. G. 1 1998 The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable. Zbl 0219.14004Khovanskij, A. G. 1 1970 Hilbert and Hilbert-Samuel polynomials and partial differential equations. Zbl 1075.35005Khovanskii, A. G.; Chulkov, S. P. 1 2005 Three lectures on Newton polyhedra. Zbl 0992.14506Khovanskii, A. 1 2001 Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064Abramov, 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 06234389Chulkov, Sergey; Khovanskii, Askold 1 2022 Completions of convex families of convex bodies. Zbl 1287.52010Khovanskii, A. G. 1 2012 Branching data for algebraic functions and representability by radicals. Zbl 1268.12002Burda, Y.; Khovanskii, A. 1 2011 Intersection theory and Hilbert function. Zbl 1271.13033Khovanskii, A. G. 1 2011 Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G. 1 2012 Mapping degree and Euler characteristic. Zbl 1109.58019Fukui, T.; Khovanskii, A. 1 2006 An analog of determinant related to Parshin-Kato theory and integer polytopes. Zbl 1109.14036Khovanskii, A. G. 1 2006 Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. Zbl 1151.14333Khovanskii, 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 06234389Chulkov, Sergey; Khovanskii, Askold 1 2022 The resultant of developed systems of Laurent polynomials. Zbl 1411.14056Khovanskii, A. G.; Monin, Leonid 1 2017 Newton polytopes and irreducible components of complete intersections. Zbl 1370.14043Khovanskii, A. G. 6 2016 Complete intersections in spherical varieties. Zbl 1378.14050Kaveh, Kiumars; Khovanskii, A. G. 3 2016 Tropical noetherity and Gröbner bases. Zbl 1329.13051Kazarnovskiĭ, Boris Yakovlevich; Khovanskiĭ, Askold Georgievich 2 2015 On algebraic functions integrable in finite terms. Zbl 1327.30047Khovanskii, A. G. 1 2015 Convex bodies and multiplicities of ideals. Zbl 1315.13013Kaveh, Kiumars; Khovanskii, Askold 21 2014 On the theory of coconvex bodies. Zbl 1397.52003Khovanskiĭ, 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 1331.12001Khovanskii, Askold 7 2014 Note on the Grothendieck group of subspaces of rational functions and Shokurov’s Cartier \(b\)-divisors. Zbl 1325.14020Kaveh, 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 1293.12001Khovanskii, Askold 2 2013 Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory. Zbl 1270.14022Kaveh, Kiumars; Khovanskii, A. G. 116 2012 Algebraic equations and convex bodies. Zbl 1316.52011Kaveh, Kiumars; Khovanskii, Askold 23 2012 Convex bodies associated to actions of reductive groups. Zbl 1284.14061Kaveh, Kiumars; Khovanskii, Askold G. 16 2012 Completions of convex families of convex bodies. Zbl 1287.52010Khovanskii, A. G. 1 2012 Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G. 1 2012 Newton polytopes for horospherical spaces. Zbl 1270.14023Kaveh, Kiumars; Khovanskii, A. G. 4 2011 Branching data for algebraic functions and representability by radicals. Zbl 1268.12002Burda, Y.; Khovanskii, A. 1 2011 Intersection theory and Hilbert function. Zbl 1271.13033Khovanskii, A. G. 1 2011 Mixed volume and an extension of intersection theory of divisors. Zbl 1287.14001Kaveh, Kiumars; Khovanskii, A. G. 11 2010 Moment polytopes, semigroup of representations and Kazarnovskii’s theorem. Zbl 1205.14059Kaveh, Kiumars; Khovanskii, A. G. 3 2010 Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064Abramov, 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 1192.14038Esterov, A.; Khovanskii, A. 16 2008 Logarithmic functional and reciprocity laws. Zbl 1221.11151Khovanskii, Askold 3 2008 Degree of rational mappings, and the theorems of Sturm and Tarski. Zbl 1159.14032Khovanskii, A.; Burda, Y. 2 2008 The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Zbl 1104.13009Khovanskii, A. G.; Chulkov, S. P. 3 2006 Mapping degree and Euler characteristic. Zbl 1109.58019Fukui, T.; Khovanskii, A. 1 2006 An analog of determinant related to Parshin-Kato theory and integer polytopes. Zbl 1109.14036Khovanskii, A. G. 1 2006 Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. Zbl 1151.14333Khovanskii, Askold 1 2006 Hilbert and Hilbert-Samuel polynomials and partial differential equations. Zbl 1075.35005Khovanskii, A. G.; Chulkov, S. P. 1 2005 On the solvability and unsolvability of equations in explicit form. Zbl 1069.34133Khovanskij, 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 1065.12001Alekseev, V. B. 1 2004 Three lectures on fewnomials and Noetherian intersections. Zbl 1055.14059Khovanskii, A. 6 2003 Toric geometry and Grothendieck residues. Zbl 1044.14029Gelfond, O. A.; Khovanskii, A. G. 7 2002 Three lectures on Newton polyhedra. Zbl 0992.14506Khovanskii, A. 1 2001 Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations. Zbl 0965.14025Khovanskii, A. 6 1999 Multiplicity of a Noetherian intersection. Zbl 0916.32008Gabrielov, Andrei; Khovanskii, Askold 12 1998 Boundary indices of polynomial 1-forms with homogeneous components. Zbl 0990.37040Khovanskij, A. G. 1 1998 Consistent partitions of polytopes and polynomial measures. Zbl 0890.52008Khovanskij, A. 1 1997 Branched covers of \(S^ 2\) and braid groups. Zbl 0865.57001Khovanskij, A. G.; Zdravkovska, Smilka 11 1996 Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\). Zbl 0941.26009Khovanskii, A.; Yakovenko, S. 10 1996 Newtonian polyhedra and Grothendieck residues. Zbl 0898.32004Gel’fond, O. A.; Khovanskij, A. G. 1 1996 Sums of finite sets, orbits of commutative semigroups, and Hilbert functions. Zbl 0855.13011Khovanskij, A. G. 7 1995 Topological obstructions to the representability of functions by quadratures. Zbl 1071.34521Khovanskii, 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 0791.52012Kantor, Jean-Michel; Khovanskij, Askold 19 1993 Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017Khovanskij, Askol’d G.; Pukhlikov, Alexander V. 5 1993 A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010Pukhlikov, A. V.; Khovanskii, A. G. 43 1992 Finitely additive measures of virtual polytopes. Zbl 0778.52006Pukhlikov, A. V.; Khovanskij, A. G. 17 1992 Finitely additive measures of virtual polytopes. Zbl 0791.52010Pukhlikov, A. V.; Khovanskij, A. G. 15 1992 Newton polyhedron, Hilbert polynomial, and sums of finite sets. Zbl 0809.13012Khovanskij, A. G. 3 1992 Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002Khovanskij, A. G. 24 1991 Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013Il’yashenko, Yu. S.; Khovanskij, A. G. 3 1990 Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Zbl 0669.14012Danilov, V. I.; Khovanskij, A. G. 45 1987 Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. Zbl 0597.51014Khovanskij, A. G. 6 1986 Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012Varchenko, A. N.; Khovanskij, A. G. 10 1985 Real analytic varieties with the finiteness property and complex abelian integrals. Zbl 0584.32016Khovanskij, A. G. 31 1984 Fewnomials of Pfaff manifolds. Zbl 0586.51015Khovanskiĭ, A. G. 29 1984 Newton polyhedra (resolution of singularities). Zbl 0544.14006Khovanskiĭ, A. G. 7 1984 Cycles of dynamical systems on the plane and Rolle’s theorem. Zbl 0581.14023Khovanskij, A. G. 3 1984 Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms. Zbl 0599.15009Khovanskij, A. G. 1 1984 Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 0546.58007Arnol’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 0488.32001Khovansky, Askold 2 1981 Rectification of circles. Zbl 0461.53002Khovanskij, A. G. 1 1981 A class of systems of transcendental equations. Zbl 0569.32004Khovanskij, A. G. 21 1980 On the rectification of circles. Zbl 0454.53001Khovanskij, A. G. 5 1980 Real Liouville functions. Zbl 0493.30004Gel’fond, O. A.; Khovanskij, A. G. 3 1980 Index of a polynomial field. Zbl 0437.57012Khovanskij, A. G. 3 1979 Index of a polynomial vector field. Zbl 0422.57009Khovanskij, A. G. 2 1979 Newton polyhedra and toroidal varieties. Zbl 0445.14019Khovanskii, A. G. 55 1978 Newton polyhedra and the genus of complete intersections. Zbl 0406.14035Khovanskij, A. G. 39 1978 Newton polyhedra and the Euler-Jacobi formula. Zbl 0449.14010Khovanskij, A. G. 6 1978 Newton polyhedra and the Euler-Jacobi formula. Zbl 0442.14020Khovanskij, A. G. 5 1978 Newtonsche Polyeder und das Geschlecht vollständiger Durchschnitte. Zbl 0387.14012Hovanskii, A. G. 1 1978 The principle of differential optimization in application to a one-product dynamic model of the economy. Zbl 0402.90025Makarov, V. L.; Kantorovich, L. V.; Zhiyanov, V. I.; Khovanskii, A. G. 1 1978 Newton polyhedra. (Newtonsche Polyeder.) Zbl 0354.14001Bernshteĭn, D. N.; Kushnirenko, A. G.; Khovanskiĭ, A. G. 10 1976 The representability of functions by quadratures. Zbl 0235.30007Khovanskij, A. G. 2 1971 The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable. Zbl 0219.14004Khovanskij, A. G. 1 1970 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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