Edit Profile (opens in new tab) Beloshapka, Valeriĭ K. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1053.32022Beloshapka, V. K. 24 2002 Analytic complexity of functions of two variables. Zbl 1191.68331Beloshapka, V. K. 20 2007 Universal models for real submanifolds. Zbl 1063.32010Beloshapka, V. K. 19 2004 Finite-dimensionality of the group of automorphisms of a real analytic surface. Zbl 0647.32010Beloshapka, V. K. 13 1988 A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space. Zbl 0715.32011Beloshapka, V. K. 13 1990 Canonical Cartan connection and holomorphic invariants on Engel CR manifolds. Zbl 1140.32024Beloshapka, V.; Ezhov, V.; Schmalz, G. 12 2007 Über die Dimension der Automorphismengruppe einer analytischen Hyperfläche. Zbl 0412.58010Beloshapka, V. K. 12 1979 Homogeneous hypersurfaces in \(\mathbb C^{3}\), associated with a model CR-cubic. Zbl 1216.32020Beloshapka, V. K.; Kossovskiy, I. G. 11 2010 Moduli space of model real submanifolds. Zbl 1118.32025Beloshapka, V. K. 10 2006 Holomorphic classification of four-dimensional surfaces in \( \mathbb C^3\). Zbl 1155.32025Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G. 10 2008 CR-varieties of the type \((1,2)\) as varieties of “super-high” codimension. Zbl 0917.32002Beloshapka, Valerij K. 9 1997 Classification of homogeneous CR-manifolds in dimension 4. Zbl 1214.32013Beloshapka, V. K.; Kossovskiy, I. G. 9 2011 Finite-dimensionality of the group of automorphisms of a real-analytic surface. Zbl 0663.32020Beloshapka, V. K. 6 1989 Analytical complexity: development of the topic. Zbl 1272.32006Beloshapka, V. K. 6 2012 On the dimension of the group of automorphisms of an analytic hypersurface. Zbl 0456.32015Beloshapka, V. K. 5 1980 The normal form of germs of four-dimensional real submanifolds in \(\mathbb{C}^5\) at generic \(\mathbb{R}\mathbb{C}\)-singular points. Zbl 0917.32015Beloshapka, V. K. 5 1997 A seven-dimensional family of simple harmonic functions. Zbl 1336.31002Beloshapka, V. K. 5 2015 Symmetries of real hypersurfaces in complex 3-space. Zbl 1082.32025Beloshapka, V. K. 5 2005 On holomorphic transformations of a quadric. Zbl 0728.32011Beloshapka, V. K. 5 1992 Model-surface method: an infinite-dimensional version. Zbl 1302.32039Beloshapka, V. K. 4 2012 Algebraic functions of complexity one, a Weierstrass theorem, and three arithmetic operations. Zbl 1362.32002Beloshapka, V. K. 4 2016 Can a stabilizer be eight-dimensional? Zbl 1294.32009Beloshapka, V. K. 4 2012 Estimations of the radius of convergence of power series, defining mappings of analytic hypersurfaces. Zbl 0492.32021Beloshapka, V. K.; Vitushkin, A. G. 4 1981 A cubic model of a real manifold. Zbl 1033.32027Beloshapka, V. K. 4 2001 Construction of the normal form of the equation of a surface of high codimension. Zbl 0718.32010Beloshapka, V. K. 4 1990 CR-manifolds of finite Bloom-Graham type: the model surface method. Zbl 1440.32016Beloshapka, V. K. 4 2020 Stabilizer of a function in the gage group. Zbl 1375.26042Beloshapka, V. K. 3 2017 Automorphisms of degenerate hypersurfaces in \(\mathbb{C}^2\) and a dimension conjecture. Zbl 0910.32015Beloshapka, Valeriĭ K. 3 1996 Cubic model \(CR\)-manifolds without the assumption of complete nondegeneracy. Zbl 1405.32061Beloshapka, V. K. 3 2018 Analytic complexity of functions of several variables. Zbl 1362.32003Beloshapka, V. K. 3 2016 Polynomial models of real manifolds. Zbl 1026.32067Beloshapka, V. K. 3 2001 Space of orbits of the automorphism group of a model surface of type (1,2). Zbl 1183.32017Beloshapka, V. K. 2 2008 Homogeneous real hypersurfaces in \(\mathbb{C}^2\). Zbl 0928.32003Beloshapka, V. K. 2 1996 On a property of convex hypersurfaces in \({\mathbb{C}}^ n\). Zbl 0618.32007Beloshapka, V. K.; Bychkov, S. N. 2 1986 Simple solutions of three equations of mathematical physics. Zbl 1416.32004Beloshapka, V. K. 2 2018 A counterexample to the dimension conjecture. Zbl 1131.32018Beloshapka, V. K. 1 2007 Holomorphic classification of real manifolds of general type. Zbl 0999.32017Beloshapka, V. K. 1 1998 Functions pluriharmonic on a manifold. Zbl 0452.31002Beloshapka, V. K. 1 1978 Vitushkin’s germ theorem for Engel-type CR manifolds. Zbl 1351.32055Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G. 1 2006 Polynomial model CR-manifolds with the rigidity condition. Zbl 1426.32019Beloshapka, V. K. 1 2019 On the complexity of the differential-algebraic description of analytic complexity classes. Zbl 1422.32002Beloshapka, V. K. 1 2019 Alexander Abrosimov. Zbl 1284.01049Beloshapka, Valery; Kalinin, Aleksey; Kuznetsov, Michael; Mayorov, Kirill; Polotovskiy, Grigory; Remizov, Ivan; Sennikovskiy, Yakov; Shabat, George; Tokman, Mikhail; Tumanov, Alexander; Zhislin, Grigoriy 1 2012 Geometric invariants of a \(CR\)-manifold. Zbl 0831.32005Beloshapka, V. K. 1 1994 A CR-manifold in general position as an \(\{e\}\)-structure. Zbl 1118.53013Beloshapka, V. K. 1 2007 Representation of the group of holomorphic symmetries of a real germ in the symmetry group of its model surface. Zbl 1146.32018Beloshapka, V. K. 1 2007 CR-manifolds of finite Bloom-Graham type: the model surface method. Zbl 1440.32016Beloshapka, V. K. 4 2020 Polynomial model CR-manifolds with the rigidity condition. Zbl 1426.32019Beloshapka, V. K. 1 2019 On the complexity of the differential-algebraic description of analytic complexity classes. Zbl 1422.32002Beloshapka, V. K. 1 2019 Cubic model \(CR\)-manifolds without the assumption of complete nondegeneracy. Zbl 1405.32061Beloshapka, V. K. 3 2018 Simple solutions of three equations of mathematical physics. Zbl 1416.32004Beloshapka, V. K. 2 2018 Stabilizer of a function in the gage group. Zbl 1375.26042Beloshapka, V. K. 3 2017 Algebraic functions of complexity one, a Weierstrass theorem, and three arithmetic operations. Zbl 1362.32002Beloshapka, V. K. 4 2016 Analytic complexity of functions of several variables. Zbl 1362.32003Beloshapka, V. K. 3 2016 A seven-dimensional family of simple harmonic functions. Zbl 1336.31002Beloshapka, V. K. 5 2015 Analytical complexity: development of the topic. Zbl 1272.32006Beloshapka, V. K. 6 2012 Model-surface method: an infinite-dimensional version. Zbl 1302.32039Beloshapka, V. K. 4 2012 Can a stabilizer be eight-dimensional? Zbl 1294.32009Beloshapka, V. K. 4 2012 Alexander Abrosimov. Zbl 1284.01049Beloshapka, Valery; Kalinin, Aleksey; Kuznetsov, Michael; Mayorov, Kirill; Polotovskiy, Grigory; Remizov, Ivan; Sennikovskiy, Yakov; Shabat, George; Tokman, Mikhail; Tumanov, Alexander; Zhislin, Grigoriy 1 2012 Classification of homogeneous CR-manifolds in dimension 4. Zbl 1214.32013Beloshapka, V. K.; Kossovskiy, I. G. 9 2011 Homogeneous hypersurfaces in \(\mathbb C^{3}\), associated with a model CR-cubic. Zbl 1216.32020Beloshapka, V. K.; Kossovskiy, I. G. 11 2010 Holomorphic classification of four-dimensional surfaces in \( \mathbb C^3\). Zbl 1155.32025Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G. 10 2008 Space of orbits of the automorphism group of a model surface of type (1,2). Zbl 1183.32017Beloshapka, V. K. 2 2008 Analytic complexity of functions of two variables. Zbl 1191.68331Beloshapka, V. K. 20 2007 Canonical Cartan connection and holomorphic invariants on Engel CR manifolds. Zbl 1140.32024Beloshapka, V.; Ezhov, V.; Schmalz, G. 12 2007 A counterexample to the dimension conjecture. Zbl 1131.32018Beloshapka, V. K. 1 2007 A CR-manifold in general position as an \(\{e\}\)-structure. Zbl 1118.53013Beloshapka, V. K. 1 2007 Representation of the group of holomorphic symmetries of a real germ in the symmetry group of its model surface. Zbl 1146.32018Beloshapka, V. K. 1 2007 Moduli space of model real submanifolds. Zbl 1118.32025Beloshapka, V. K. 10 2006 Vitushkin’s germ theorem for Engel-type CR manifolds. Zbl 1351.32055Beloshapka, V. K.; Ezhov, V. V.; Schmalz, G. 1 2006 Symmetries of real hypersurfaces in complex 3-space. Zbl 1082.32025Beloshapka, V. K. 5 2005 Universal models for real submanifolds. Zbl 1063.32010Beloshapka, V. K. 19 2004 Real submanifolds of a complex space: their polynomial models, automorphisms, and classification problems. Zbl 1053.32022Beloshapka, V. K. 24 2002 A cubic model of a real manifold. Zbl 1033.32027Beloshapka, V. K. 4 2001 Polynomial models of real manifolds. Zbl 1026.32067Beloshapka, V. K. 3 2001 Holomorphic classification of real manifolds of general type. Zbl 0999.32017Beloshapka, V. K. 1 1998 CR-varieties of the type \((1,2)\) as varieties of “super-high” codimension. Zbl 0917.32002Beloshapka, Valerij K. 9 1997 The normal form of germs of four-dimensional real submanifolds in \(\mathbb{C}^5\) at generic \(\mathbb{R}\mathbb{C}\)-singular points. Zbl 0917.32015Beloshapka, V. K. 5 1997 Automorphisms of degenerate hypersurfaces in \(\mathbb{C}^2\) and a dimension conjecture. Zbl 0910.32015Beloshapka, Valeriĭ K. 3 1996 Homogeneous real hypersurfaces in \(\mathbb{C}^2\). Zbl 0928.32003Beloshapka, V. K. 2 1996 Geometric invariants of a \(CR\)-manifold. Zbl 0831.32005Beloshapka, V. K. 1 1994 On holomorphic transformations of a quadric. Zbl 0728.32011Beloshapka, V. K. 5 1992 A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space. Zbl 0715.32011Beloshapka, V. K. 13 1990 Construction of the normal form of the equation of a surface of high codimension. Zbl 0718.32010Beloshapka, V. K. 4 1990 Finite-dimensionality of the group of automorphisms of a real-analytic surface. Zbl 0663.32020Beloshapka, V. K. 6 1989 Finite-dimensionality of the group of automorphisms of a real analytic surface. Zbl 0647.32010Beloshapka, V. K. 13 1988 On a property of convex hypersurfaces in \({\mathbb{C}}^ n\). Zbl 0618.32007Beloshapka, V. K.; Bychkov, S. N. 2 1986 Estimations of the radius of convergence of power series, defining mappings of analytic hypersurfaces. Zbl 0492.32021Beloshapka, V. K.; Vitushkin, A. G. 4 1981 On the dimension of the group of automorphisms of an analytic hypersurface. Zbl 0456.32015Beloshapka, V. K. 5 1980 Über die Dimension der Automorphismengruppe einer analytischen Hyperfläche. Zbl 0412.58010Beloshapka, V. K. 12 1979 Functions pluriharmonic on a manifold. Zbl 0452.31002Beloshapka, V. K. 1 1978 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year