## Beloshapka, Valeriĭ K.

Compute Distance To:
 Author ID: beloshapka.valerii-k Published as: Beloshapka, V. K.; Beloshapka, Valery K.; Beloshapka, Valeriĭ K.; Beloshapka, Valerii K.; Beloshapka, Valerij K.; Beloshapka, Valery; Beloshapka, V. External Links: Math-Net.Ru
 Documents Indexed: 68 Publications since 1976 Co-Authors: 34 Co-Authors with 13 Joint Publications 743 Co-Co-Authors
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### Co-Authors

 55 single-authored 3 Ezhov, Vladimir Vladimirovich 3 Kossovskiy, Il’ya Grigor’evich 3 Schmalz, Gerd 2 Kruzhilin, Nikolai Georgievich 2 Paramonov, Peter V. 2 Sergeev, Armen Glebovich 2 Vitushkin, Anatoliĭ Georgievich 1 Aptekarev, Alexander Ivanovich 1 Buslaev, Viktor Ivanovich 1 Bychkov, S. N. 1 Chirka, Evgeni M. 1 Dolzhenko, Evgeniĭ Prokof’evich 1 Dubinin, Vladimir N. 1 Gonchar, Andreĭ Aleksandrovich 1 Goryainov, Viktor V. 1 Kalinin, Aleksey V. 1 Kuznetsov, Michael I. 1 Mayorov, Kirill 1 Napalkov, Valentin Vasil’evich 1 Nemirovskiĭ, Stefan Yur’evich 1 Orevkov, C. Yu. 1 Polotovsky, Grigory Mikhailovich 1 Remizov, Ivan D. 1 Sabzevari, Masoud 1 Sennikovskiy, Yakov 1 Shabat, George B. 1 Suetin, Sergeĭ Pavlovich 1 Sukhov, Alexandre B. 1 Tokman, Mikhail 1 Tumanov, Alexander 1 Ul’yanov, Pëtr Lavrent’evich 1 Vladimirov, Vasiliĭ Sergeevich 1 Zhislin, Grigoriĭ M. 1 Zorich, Vladimir Antonovich
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### Serials

 21 Russian Journal of Mathematical Physics 17 Mathematical Notes 5 Mathematics of the USSR. Izvestiya 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Journal of Siberian Federal University. Mathematics & Physics 3 Russian Mathematical Surveys 3 Izvestiya: Mathematics 3 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Transactions of the Moscow Mathematical Society 1 The Journal of Geometric Analysis 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Notices of the American Mathematical Society 1 Doklady Mathematics
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### Fields

 55 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 6 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Potential theory (31-XX) 4 Partial differential equations (35-XX) 3 Manifolds and cell complexes (57-XX) 3 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 260 times in 135 Documents Cited by Year
Real submanifolds of a complex space: their polynomial models, automorphisms, and classification problems. Zbl 1053.32022
Beloshapka, V. K.
2002
Analytic complexity of functions of two variables. Zbl 1191.68331
Beloshapka, V. K.
2007
Universal models for real submanifolds. Zbl 1063.32010
Beloshapka, V. K.
2004
Finite-dimensionality of the group of automorphisms of a real analytic surface. Zbl 0647.32010
Beloshapka, V. K.
1988
A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space. Zbl 0715.32011
Beloshapka, V. K.
1990
Canonical Cartan connection and holomorphic invariants on Engel CR manifolds. Zbl 1140.32024
Beloshapka, V.; Ezhov, V.; Schmalz, G.
2007
Über die Dimension der Automorphismengruppe einer analytischen Hyperfläche. Zbl 0412.58010
Beloshapka, V. K.
1979
Homogeneous hypersurfaces in $$\mathbb C^{3}$$, associated with a model CR-cubic. Zbl 1216.32020
Beloshapka, V. K.; Kossovskiy, I. G.
2010
Moduli space of model real submanifolds. Zbl 1118.32025
Beloshapka, V. K.
2006
Holomorphic classification of four-dimensional surfaces in $$\mathbb C^3$$. Zbl 1155.32025
Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G.
2008
CR-varieties of the type $$(1,2)$$ as varieties of “super-high” codimension. Zbl 0917.32002
Beloshapka, Valerij K.
1997
Classification of homogeneous CR-manifolds in dimension 4. Zbl 1214.32013
Beloshapka, V. K.; Kossovskiy, I. G.
2011
Finite-dimensionality of the group of automorphisms of a real-analytic surface. Zbl 0663.32020
Beloshapka, V. K.
1989
Analytical complexity: development of the topic. Zbl 1272.32006
Beloshapka, V. K.
2012
On the dimension of the group of automorphisms of an analytic hypersurface. Zbl 0456.32015
Beloshapka, V. K.
1980
The normal form of germs of four-dimensional real submanifolds in $$\mathbb{C}^5$$ at generic $$\mathbb{R}\mathbb{C}$$-singular points. Zbl 0917.32015
Beloshapka, V. K.
1997
A seven-dimensional family of simple harmonic functions. Zbl 1336.31002
Beloshapka, V. K.
2015
Symmetries of real hypersurfaces in complex 3-space. Zbl 1082.32025
Beloshapka, V. K.
2005
On holomorphic transformations of a quadric. Zbl 0728.32011
Beloshapka, V. K.
1992
Model-surface method: an infinite-dimensional version. Zbl 1302.32039
Beloshapka, V. K.
2012
Algebraic functions of complexity one, a Weierstrass theorem, and three arithmetic operations. Zbl 1362.32002
Beloshapka, V. K.
2016
Can a stabilizer be eight-dimensional? Zbl 1294.32009
Beloshapka, V. K.
2012
Estimations of the radius of convergence of power series, defining mappings of analytic hypersurfaces. Zbl 0492.32021
Beloshapka, V. K.; Vitushkin, A. G.
1981
A cubic model of a real manifold. Zbl 1033.32027
Beloshapka, V. K.
2001
Construction of the normal form of the equation of a surface of high codimension. Zbl 0718.32010
Beloshapka, V. K.
1990
CR-manifolds of finite Bloom-Graham type: the model surface method. Zbl 1440.32016
Beloshapka, V. K.
2020
Stabilizer of a function in the gage group. Zbl 1375.26042
Beloshapka, V. K.
2017
Automorphisms of degenerate hypersurfaces in $$\mathbb{C}^2$$ and a dimension conjecture. Zbl 0910.32015
Beloshapka, Valeriĭ K.
1996
Cubic model $$CR$$-manifolds without the assumption of complete nondegeneracy. Zbl 1405.32061
Beloshapka, V. K.
2018
Analytic complexity of functions of several variables. Zbl 1362.32003
Beloshapka, V. K.
2016
Polynomial models of real manifolds. Zbl 1026.32067
Beloshapka, V. K.
2001
Space of orbits of the automorphism group of a model surface of type (1,2). Zbl 1183.32017
Beloshapka, V. K.
2008
Homogeneous real hypersurfaces in $$\mathbb{C}^2$$. Zbl 0928.32003
Beloshapka, V. K.
1996
On a property of convex hypersurfaces in $${\mathbb{C}}^ n$$. Zbl 0618.32007
Beloshapka, V. K.; Bychkov, S. N.
1986
Simple solutions of three equations of mathematical physics. Zbl 1416.32004
Beloshapka, V. K.
2018
A counterexample to the dimension conjecture. Zbl 1131.32018
Beloshapka, V. K.
2007
Holomorphic classification of real manifolds of general type. Zbl 0999.32017
Beloshapka, V. K.
1998
Functions pluriharmonic on a manifold. Zbl 0452.31002
Beloshapka, V. K.
1978
Vitushkin’s germ theorem for Engel-type CR manifolds. Zbl 1351.32055
Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G.
2006
Polynomial model CR-manifolds with the rigidity condition. Zbl 1426.32019
Beloshapka, V. K.
2019
On the complexity of the differential-algebraic description of analytic complexity classes. Zbl 1422.32002
Beloshapka, V. K.
2019
Alexander Abrosimov. Zbl 1284.01049
Beloshapka, Valery; Kalinin, Aleksey; Kuznetsov, Michael; Mayorov, Kirill; Polotovskiy, Grigory; Remizov, Ivan; Sennikovskiy, Yakov; Shabat, George; Tokman, Mikhail; Tumanov, Alexander; Zhislin, Grigoriy
2012
Geometric invariants of a $$CR$$-manifold. Zbl 0831.32005
Beloshapka, V. K.
1994
A CR-manifold in general position as an $$\{e\}$$-structure. Zbl 1118.53013
Beloshapka, V. K.
2007
Representation of the group of holomorphic symmetries of a real germ in the symmetry group of its model surface. Zbl 1146.32018
Beloshapka, V. K.
2007
CR-manifolds of finite Bloom-Graham type: the model surface method. Zbl 1440.32016
Beloshapka, V. K.
2020
Polynomial model CR-manifolds with the rigidity condition. Zbl 1426.32019
Beloshapka, V. K.
2019
On the complexity of the differential-algebraic description of analytic complexity classes. Zbl 1422.32002
Beloshapka, V. K.
2019
Cubic model $$CR$$-manifolds without the assumption of complete nondegeneracy. Zbl 1405.32061
Beloshapka, V. K.
2018
Simple solutions of three equations of mathematical physics. Zbl 1416.32004
Beloshapka, V. K.
2018
Stabilizer of a function in the gage group. Zbl 1375.26042
Beloshapka, V. K.
2017
Algebraic functions of complexity one, a Weierstrass theorem, and three arithmetic operations. Zbl 1362.32002
Beloshapka, V. K.
2016
Analytic complexity of functions of several variables. Zbl 1362.32003
Beloshapka, V. K.
2016
A seven-dimensional family of simple harmonic functions. Zbl 1336.31002
Beloshapka, V. K.
2015
Analytical complexity: development of the topic. Zbl 1272.32006
Beloshapka, V. K.
2012
Model-surface method: an infinite-dimensional version. Zbl 1302.32039
Beloshapka, V. K.
2012
Can a stabilizer be eight-dimensional? Zbl 1294.32009
Beloshapka, V. K.
2012
Alexander Abrosimov. Zbl 1284.01049
Beloshapka, Valery; Kalinin, Aleksey; Kuznetsov, Michael; Mayorov, Kirill; Polotovskiy, Grigory; Remizov, Ivan; Sennikovskiy, Yakov; Shabat, George; Tokman, Mikhail; Tumanov, Alexander; Zhislin, Grigoriy
2012
Classification of homogeneous CR-manifolds in dimension 4. Zbl 1214.32013
Beloshapka, V. K.; Kossovskiy, I. G.
2011
Homogeneous hypersurfaces in $$\mathbb C^{3}$$, associated with a model CR-cubic. Zbl 1216.32020
Beloshapka, V. K.; Kossovskiy, I. G.
2010
Holomorphic classification of four-dimensional surfaces in $$\mathbb C^3$$. Zbl 1155.32025
Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G.
2008
Space of orbits of the automorphism group of a model surface of type (1,2). Zbl 1183.32017
Beloshapka, V. K.
2008
Analytic complexity of functions of two variables. Zbl 1191.68331
Beloshapka, V. K.
2007
Canonical Cartan connection and holomorphic invariants on Engel CR manifolds. Zbl 1140.32024
Beloshapka, V.; Ezhov, V.; Schmalz, G.
2007
A counterexample to the dimension conjecture. Zbl 1131.32018
Beloshapka, V. K.
2007
A CR-manifold in general position as an $$\{e\}$$-structure. Zbl 1118.53013
Beloshapka, V. K.
2007
Representation of the group of holomorphic symmetries of a real germ in the symmetry group of its model surface. Zbl 1146.32018
Beloshapka, V. K.
2007
Moduli space of model real submanifolds. Zbl 1118.32025
Beloshapka, V. K.
2006
Vitushkin’s germ theorem for Engel-type CR manifolds. Zbl 1351.32055
Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G.
2006
Symmetries of real hypersurfaces in complex 3-space. Zbl 1082.32025
Beloshapka, V. K.
2005
Universal models for real submanifolds. Zbl 1063.32010
Beloshapka, V. K.
2004
Real submanifolds of a complex space: their polynomial models, automorphisms, and classification problems. Zbl 1053.32022
Beloshapka, V. K.
2002
A cubic model of a real manifold. Zbl 1033.32027
Beloshapka, V. K.
2001
Polynomial models of real manifolds. Zbl 1026.32067
Beloshapka, V. K.
2001
Holomorphic classification of real manifolds of general type. Zbl 0999.32017
Beloshapka, V. K.
1998
CR-varieties of the type $$(1,2)$$ as varieties of “super-high” codimension. Zbl 0917.32002
Beloshapka, Valerij K.
1997
The normal form of germs of four-dimensional real submanifolds in $$\mathbb{C}^5$$ at generic $$\mathbb{R}\mathbb{C}$$-singular points. Zbl 0917.32015
Beloshapka, V. K.
1997
Automorphisms of degenerate hypersurfaces in $$\mathbb{C}^2$$ and a dimension conjecture. Zbl 0910.32015
Beloshapka, Valeriĭ K.
1996
Homogeneous real hypersurfaces in $$\mathbb{C}^2$$. Zbl 0928.32003
Beloshapka, V. K.
1996
Geometric invariants of a $$CR$$-manifold. Zbl 0831.32005
Beloshapka, V. K.
1994
On holomorphic transformations of a quadric. Zbl 0728.32011
Beloshapka, V. K.
1992
A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space. Zbl 0715.32011
Beloshapka, V. K.
1990
Construction of the normal form of the equation of a surface of high codimension. Zbl 0718.32010
Beloshapka, V. K.
1990
Finite-dimensionality of the group of automorphisms of a real-analytic surface. Zbl 0663.32020
Beloshapka, V. K.
1989
Finite-dimensionality of the group of automorphisms of a real analytic surface. Zbl 0647.32010
Beloshapka, V. K.
1988
On a property of convex hypersurfaces in $${\mathbb{C}}^ n$$. Zbl 0618.32007
Beloshapka, V. K.; Bychkov, S. N.
1986
Estimations of the radius of convergence of power series, defining mappings of analytic hypersurfaces. Zbl 0492.32021
Beloshapka, V. K.; Vitushkin, A. G.
1981
On the dimension of the group of automorphisms of an analytic hypersurface. Zbl 0456.32015
Beloshapka, V. K.
1980
Über die Dimension der Automorphismengruppe einer analytischen Hyperfläche. Zbl 0412.58010
Beloshapka, V. K.
1979
Functions pluriharmonic on a manifold. Zbl 0452.31002
Beloshapka, V. K.
1978
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### Cited by 66 Authors

 37 Beloshapka, Valeriĭ K. 15 Loboda, Alexander Vasil’evich 12 Sabzevari, Masoud 10 Kossovskiy, Il’ya Grigor’evich 8 Ezhov, Vladimir Vladimirovich 7 Merker, Joël 7 Schmalz, Gerd 7 Zaitsev, Dmitri 6 Isaev, Alexander 5 Kolář, Martin 5 Lamel, Bernhard 5 Meylan, Francine 4 Kruglikov, Boris S. 4 Stepanova, Mariya Aleksandrovna 3 Atanov, A. V. 3 Baouendi, Mohammed Salah 3 Bertrand, Florian 3 Blanc-Centi, Léa 3 Kaup, Wilhelm Gerhard 3 Rothschild, Linda Preiss 3 Sadykov, Timur Mradovich 3 Shafikov, Rasul Gazimovich 2 Aghasi, Mansour 2 Akopyan, Ripsime S. 2 Anisova, E. G. 2 Della Sala, Giuseppe 2 Fels, Gregor 2 Gupta, Purvi 2 Krasikov, Vitaly A. 2 M.-Alizadeh, Benyamin 2 Mamai, I. B. 2 Palinchak, N. F. 2 Reiter, Michael 1 Akopyan, R. C. 1 Bedford, Eric 1 Bièche, Camille 1 Borisenko, Aleksandr Andreevich 1 Coffman, Adam 1 Danilov, Maksim Sergeevich 1 De Bartolomeis, Paolo 1 Ebenfeldt, P. 1 Ebenfelt, Peter 1 Evchenko, V. K. 1 Gammel, R. V. 1 Hashemi, Amir 1 Krutskikh, Vladislav V. 1 Labovskij, A. S. 1 Mir, Nordine 1 Nguen, T. T. Z. 1 Nguyen, Thi T. D. 1 Nikolov, Nikolai Marinov 1 Normov, A. I. 1 Olijnyk, A. S. 1 Remizov, Ivan D. 1 Santi, Andrea 1 Shananina, E. N. 1 Shevchenko, S. N. 1 Shipovskaya, A. V. 1 Spiro, Andrea F. 1 Stepanova, Maria A. 1 Stolovitch, Laurent 1 Sukovykh, V. I. 1 Sushchans’kyĭ, Vitaliĭ Ivanovych 1 The, Dennis 1 Tomassini, Giuseppe 1 Wu, Qingyan
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### Cited in 44 Serials

 25 Mathematical Notes 18 Russian Journal of Mathematical Physics 9 Proceedings of the Steklov Institute of Mathematics 8 Advances in Mathematics 8 The Journal of Geometric Analysis 7 Journal of Siberian Federal University. Mathematics & Physics 4 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Transactions of the Moscow Mathematical Society 3 Izvestiya: Mathematics 2 Journal of Mathematical Analysis and Applications 2 Functional Analysis and its Applications 2 Proceedings of the American Mathematical Society 2 International Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 Science China. Mathematics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Compositio Mathematica 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Sbornik: Mathematics 1 Doklady Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Kyoto Journal of Mathematics 1 Complex Analysis and its Synergies 1 Prikladnaya Diskretnaya Matematika
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### Cited in 27 Fields

 112 Several complex variables and analytic spaces (32-XX) 19 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Algebraic geometry (14-XX) 8 Topological groups, Lie groups (22-XX) 8 Real functions (26-XX) 6 Nonassociative rings and algebras (17-XX) 6 Partial differential equations (35-XX) 4 Potential theory (31-XX) 4 Manifolds and cell complexes (57-XX) 3 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)