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## Esterov, Alexander I.

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 Author ID: esterov.alexander-i Published as: Esterov, Alexander; Esterov, A.; Esterov, A. I.; Esterov, Alexander I.; Èsterov, A. I.; Ésterov, A. I. Homepage: https://www.hse.ru/en/staff/esterov External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp
 Documents Indexed: 25 Publications since 2000 Reviewing Activity: 58 Reviews
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#### Co-Authors

 16 single-authored 4 Takeuchi, Kiyoshi 2 Gusev, Gleb 2 Khovanskiĭ, Askold Georgievich 1 Ando, Kana 1 Arkhipova, Arina A. Arkhipova 1 Kazarnovskii, Boris Ya
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#### Serials

 4 Russian Mathematical Surveys 2 Advances in Mathematics 2 Moscow Mathematical Journal 1 Moscow University Mathematics Bulletin 1 American Journal of Mathematics 1 Compositio Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Proceedings of the Steklov Institute of Mathematics 1 Functional Analysis and Other Mathematics 1 Journal of Singularities
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#### Fields

 16 Algebraic geometry (14-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 3 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 100 times in 59 Documents Cited by Year
Newton polyhedra of discriminants of projections. Zbl 1273.14105
Esterov, Alexander I.
2010
Elimination theory and Newton polytopes. Zbl 1192.14038
Esterov, A.; Khovanskii, A.
2008
Confluent $$A$$-hypergeometric functions and rapid decay homology cycles. Zbl 1321.33018
Esterov, Alexander; Takeuchi, Kiyoshi
2015
Systems of equations with a single solution. Zbl 1314.52011
Esterov, Alexander; Gusev, Gleb
2015
Determinantal singularities and Newton polyhedra. Zbl 1201.14003
Esterov, A.
2007
Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers. Zbl 1250.32025
Esterov, Alexander; Takeuchi, Kiyoshi
2012
The discriminant of a system of equations. Zbl 1291.13044
Esterov, Alexander
2013
Indices of 1-forms, intersection indices, and Newton polyhedra. Zbl 1155.14036
Èsterov, A. I.
2006
Tropical varieties with polynomial weights and corner loci of piecewise polynomials. Zbl 1271.14092
Esterov, A.
2012
Monodromies at infinity of confluent $$A$$-hypergeometric functions. Zbl 1328.14083
Ando, Kana; Esterov, Alexander; Takeuchi, Kiyoshi
2015
On the existence of mixed fiber bodies. Zbl 1160.52004
Esterov, A.
2008
Indices of 1-forms, resultants and Newton polyhedra. Zbl 1084.14500
Ésterov, A. I.
2005
Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra. Zbl 1292.52007
Esterov, Alexander
2012
Galois theory for general systems of polynomial equations. Zbl 1451.14152
Esterov, A.
2019
Index of a real singular point and its Newton diagram. Zbl 1052.58039
Esterov, A. I.
2003
Indices of 1-forms and Newton polyhedra. Zbl 1084.32024
Esterov, Alexander
2005
Multivariate Abel-Ruffini. Zbl 1371.14059
Esterov, Alexander; Gusev, Gleb
2016
On vanishing theorems for local systems associated to Laurent polynomials. Zbl 1408.14161
Esterov, Alexander; Takeuchi, Kiyoshi
2018
Galois theory for general systems of polynomial equations. Zbl 1451.14152
Esterov, A.
2019
On vanishing theorems for local systems associated to Laurent polynomials. Zbl 1408.14161
Esterov, Alexander; Takeuchi, Kiyoshi
2018
Multivariate Abel-Ruffini. Zbl 1371.14059
Esterov, Alexander; Gusev, Gleb
2016
Confluent $$A$$-hypergeometric functions and rapid decay homology cycles. Zbl 1321.33018
Esterov, Alexander; Takeuchi, Kiyoshi
2015
Systems of equations with a single solution. Zbl 1314.52011
Esterov, Alexander; Gusev, Gleb
2015
Monodromies at infinity of confluent $$A$$-hypergeometric functions. Zbl 1328.14083
Ando, Kana; Esterov, Alexander; Takeuchi, Kiyoshi
2015
The discriminant of a system of equations. Zbl 1291.13044
Esterov, Alexander
2013
Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers. Zbl 1250.32025
Esterov, Alexander; Takeuchi, Kiyoshi
2012
Tropical varieties with polynomial weights and corner loci of piecewise polynomials. Zbl 1271.14092
Esterov, A.
2012
Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra. Zbl 1292.52007
Esterov, Alexander
2012
Newton polyhedra of discriminants of projections. Zbl 1273.14105
Esterov, Alexander I.
2010
Elimination theory and Newton polytopes. Zbl 1192.14038
Esterov, A.; Khovanskii, A.
2008
On the existence of mixed fiber bodies. Zbl 1160.52004
Esterov, A.
2008
Determinantal singularities and Newton polyhedra. Zbl 1201.14003
Esterov, A.
2007
Indices of 1-forms, intersection indices, and Newton polyhedra. Zbl 1155.14036
Èsterov, A. I.
2006
Indices of 1-forms, resultants and Newton polyhedra. Zbl 1084.14500
Ésterov, A. I.
2005
Indices of 1-forms and Newton polyhedra. Zbl 1084.32024
Esterov, Alexander
2005
Index of a real singular point and its Newton diagram. Zbl 1052.58039
Esterov, A. I.
2003
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#### Cited by 72 Authors

 11 Esterov, Alexander I. 8 Takeuchi, Kiyoshi 3 Bajbar, Tomáš 3 Borger, Christopher 3 Matsui, Yutaka 2 Busé, Laurent 2 Cueto, María Angélica 2 D’Andrea, Carlos 2 Dickenstein, Alicia M. 2 Fernández-Fernández, María-Cruz 2 Gusev, Gleb 2 Ito, Atsushi M. 2 Matsubara-Heo, Saiei-Jaeyeong 2 Nill, Benjamin 2 Sombra, Martín 2 Soprunov, Ivan 2 Sturmfels, Bernd 2 Takayama, Nobuki 1 Ando, Kana 1 Antipova, Irina Avgustovna 1 Antyushina, I. V. 1 Arkhipova, Arina A. Arkhipova 1 Averkov, Gennadiy 1 Balletti, Gabriele 1 Bihan, Frédéric 1 Bivià-Ausina, Carles 1 Bliznyakov, N. M. 1 Castro-Jiménez, Francisco Jesús 1 Cattani, Eduardo H. 1 Chen, Ying 1 Denham, Graham 1 Di Rocco, Sandra 1 Dias, Luis Renato Gonçalves 1 Dinh, Si Tiep 1 Emiris, Ioannis Z. 1 Forsgård, Jens 1 Francois, Georges 1 Furukawa, Katsuhisa 1 Gel’fond, O. A. 1 Ghazaryan, Hayk G. 1 Hauenstein, Jonathan D. 1 Helmer, Martin 1 Hept, Kerstin 1 Hibi, Takayuki 1 Ito, Yohei 1 Jeronimo, Gabriela 1 Jouanolou, Jean-Pierre 1 Khovanskiĭ, Askold Georgievich 1 Koike, Tatsuya 1 Konaxis, Christos 1 Mantzaflaris, Angelos 1 Markwig, Hannah 1 Mikhalkin, Evgeniĭ N. 1 Monin, Leonid 1 Nishiyama, Kenta 1 Palios, Leonidas 1 Phạm Tiên So’n 1 Reichelt, Thomas 1 Sabia, Juan 1 Schneider, Rolf G. 1 Schulze, Mathias 1 Sevenheck, Christian 1 Sheĭnman, Oleg Karlovich 1 Sottile, Frank 1 Stapledon, Alan 1 Suciu, Alexander I. 1 Tabera, Luis Felipe 1 Theobald, Thorsten 1 Tibăr, Mihai-Marius 1 Tsigaridas, Elias P. 1 Tsikh, Avgust Karlovich 1 Walther, Uli
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#### Cited in 40 Serials

 7 Advances in Mathematics 4 Mathematics in Computer Science 3 Functional Analysis and its Applications 3 Journal of Symbolic Computation 3 Discrete & Computational Geometry 2 Annales de l’Institut Fourier 2 Mathematische Zeitschrift 2 Advances in Geometry 1 Mathematical Notes 1 Beiträge zur Algebra und Geometrie 1 Compositio Mathematica 1 Journal of Combinatorial Theory. Series A 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Optimization 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Optimization 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Kyushu Journal of Mathematics 1 Sbornik: Mathematics 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Functional Analysis and Other Mathematics 1 Armenian Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 23 Fields

 43 Algebraic geometry (14-XX) 24 Convex and discrete geometry (52-XX) 18 Several complex variables and analytic spaces (32-XX) 15 Commutative algebra (13-XX) 9 Special functions (33-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)

#### Wikidata Timeline

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