Edit Profile (opens in new tab) Kruzhilin, Nikolai Georgievich Compute Distance To: Compute Author ID: kruzhilin.nikolai-georgievich Published as: Kruzhilin, N. G.; Kruzhilin, Nikolai G.; Kruzhilin, Nikolaĭ G.; Kruzhilin, Nikolai; Kruzhilin, N. more...less External Links: Math-Net.Ru Documents Indexed: 35 Publications since 1982 Co-Authors: 51 Co-Authors with 21 Joint Publications 1,980 Co-Co-Authors all top 5 Co-Authors 14 single-authored 7 Isaev, Alexander 4 Vitushkin, Anatoliĭ Georgievich 3 Ezhov, Vladimir Vladimirovich 3 Suetin, Sergeĭ Pavlovich 2 Aptekarev, Alexander Ivanovich 2 Beloshapka, Valeriĭ K. 2 Chirka, Evgeni M. 2 Nemirovskiĭ, Stefan Yur’evich 2 Paramonov, Peter V. 2 Sergeev, Armen Glebovich 2 Soldatkin, P. A. 2 Sukhov, Alexandre B. 1 Alper, Jarod 1 Bukhshtaber, Viktor Matveevich 1 Buslaev, Viktor Ivanovich 1 Dolzhenko, Evgeniĭ Prokof’evich 1 Dubinin, Vladimir N. 1 Fedorovskiĭ, K. Yu. 1 Fels, Gregor 1 Fuchs, Dmitry Borisovich 1 Gonchar, Andreĭ Aleksandrovich 1 Goryainov, Viktor V. 1 Gromov, Mikhael Leonidovich 1 Ilyashenko, Yulij Sergeevich 1 Kashin, Boris Sergeevich 1 Kaup, Wilhelm Gerhard 1 Kesel’man, V. M. 1 Khovanskiĭ, Askold Georgievich 1 Komlov, Aleksandr V. 1 Kontsevich, Maxim Lvovich 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Lando, Sergei K. 1 Loboda, A. B. 1 Manin, Yuri Ivanovich 1 Margulis, Grigoriĭ Aleksandrovich 1 Napalkov, Valentin Vasil’evich 1 Novikov, Sergeĭ Petrovich 1 Orevkov, C. Yu. 1 Orevkov, Stepan Yur’evich 1 Palv’elev, Roman Vital’evich 1 Reshetnyak, Yuriĭ Grigor’evich 1 Schwarz, Albert S. 1 Shcherbina, Nikolay 1 Shiryaev, Al’bert Nikolaevich 1 Sinaĭ, Yakov Grigor’evich 1 Treshchev, Dmitriĭ Valer’evich 1 Ul’yanov, Pëtr Lavrent’evich 1 Vasil’ev, Viktor Anatol’evich 1 Vladimirov, Vasiliĭ Sergeevich 1 Zorich, Vladimir Antonovich all top 5 Serials 7 Russian Mathematical Surveys 5 Mathematics of the USSR. Izvestiya 3 Soviet Mathematics. Doklady 3 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Notes 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Izvestiya: Mathematics 1 Israel Journal of Mathematics 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Bulletin des Sciences Mathématiques 1 Transformation Groups 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 31 Several complex variables and analytic spaces (32-XX) 4 Algebraic geometry (14-XX) 3 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 129 times in 103 Documents Cited by ▼ Year ▼ Linearization of local automorphisms of pseudoconvex surfaces. Zbl 0582.32040Kruzhilin, N. G.; Loboda, A. B. 19 1983 Effective actions of the unitary group on complex manifolds. Zbl 1026.32053Isaev, A. V.; Kruzhilin, N. G. 18 2002 Convergence of Shafer quadratic approximants. Zbl 1350.41003Komlov, A. V.; Kruzhilin, N. G.; Palvelev, R. V.; Suetin, S. P. 13 2016 Holomorphic automorphisms of hyperbolic Reinhardt domains. Zbl 0663.32019Kruzhilin, N. G. 13 1989 Proper holomorphic maps between Reinhardt domains in \(\mathbb C^2\). Zbl 1122.32011Isaev, Alexander V.; Kruzhilin, N. G. 9 2006 Two-dimensional spheres on the boundaries of pseudoconvex domains in \(\mathbb{C}^ 2\). Zbl 0744.32004Kruzhilin, N. G. 8 1991 Isolated hypersurface singularities and special polynomial realizations of affine quadrics. Zbl 1274.32018Fels, G.; Isaev, A.; Kaup, W.; Kruzhilin, N. 6 2011 Holomorphic automorphisms of hyperbolic Reinhardt domains. Zbl 0638.32024Kruzhilin, N. G. 6 1988 Affine and holomorphic equivalence of tube domains in \(\mathbb C^2\). Zbl 1065.32001Kruzhilin, N. G.; Soldatkin, P. A. 5 2004 Extension of local mappings of pseudoconvex surfaces. Zbl 0558.32003Vitushkin, A. G.; Ezhov, V. V.; Kruzhilin, N. G. 4 1983 Continuation of holomorphic mappings along real-analytic hypersurfaces. Zbl 0575.32011Vitushkin, A. G.; Ezhov, V. V.; Kruzhilin, N. G. 4 1985 Effective actions of \(SU_n\) on complex \(n\)-dimensional manifolds. Zbl 1040.32023Isaev, A. V.; Kruzhilin, N. G. 4 2004 Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces. Zbl 1073.32021Kruzhilin, Nikolai; Sukhov, Alexandre 4 2005 Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras. Zbl 1305.32016Isaev, A. V.; Kruzhilin, N. G. 3 2014 Associated forms of binary quartics and ternary cubics. Zbl 1372.14038Alper, J.; Isaev, A. V.; Kruzhilin, N. G. 3 2016 Holomorphic equivalence of tube domains in \(\mathbb{C}^{2}\). Zbl 1351.32002Kruzhilin, N. G.; Soldatkin, P. A. 3 2006 Proper actions of Lie groups of dimension \(n^{2} + 1\) on \(n\)-dimensional complex manifolds. Zbl 1175.32009Isaev, A. V.; Kruzhilin, N. G. 1 2009 On a local holomorphic version of the fundamental theorem of projective geometry. Zbl 1439.32042Kruzhilin, Nikolaĭ G. 1 2019 Two-dimensional spheres in the boundaries of strictly pseudoconvex domains in \(\mathbb{C}^ 2\). Zbl 0778.32003Kruzhilin, N. G. 1 1991 Extension of holomorphic mappings along real-analytic hypersurfaces. Zbl 0593.32008Vitushkin, A. G.; Ezhov, V. V.; Kruzhilin, N. G. 1 1986 Description of automorphism groups of real hypersurfaces of a complex space. Zbl 0683.32015Vitushkin, A. G.; Kruzhilin, N. G. 1 1987 Holomorphic disks with boundaries in totally real tori in \(\mathbb{C}^ 2\). Zbl 0842.32011Kruzhilin, N. G. 1 1994 A generalization of Kerner’s theorem on proper maps. Zbl 1214.32005Kruzhilin, N. G. 1 2010 On a local holomorphic version of the fundamental theorem of projective geometry. Zbl 1439.32042Kruzhilin, Nikolaĭ G. 1 2019 Convergence of Shafer quadratic approximants. Zbl 1350.41003Komlov, A. V.; Kruzhilin, N. G.; Palvelev, R. V.; Suetin, S. P. 13 2016 Associated forms of binary quartics and ternary cubics. Zbl 1372.14038Alper, J.; Isaev, A. V.; Kruzhilin, N. G. 3 2016 Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras. Zbl 1305.32016Isaev, A. V.; Kruzhilin, N. G. 3 2014 Isolated hypersurface singularities and special polynomial realizations of affine quadrics. Zbl 1274.32018Fels, G.; Isaev, A.; Kaup, W.; Kruzhilin, N. 6 2011 A generalization of Kerner’s theorem on proper maps. Zbl 1214.32005Kruzhilin, N. G. 1 2010 Proper actions of Lie groups of dimension \(n^{2} + 1\) on \(n\)-dimensional complex manifolds. Zbl 1175.32009Isaev, A. V.; Kruzhilin, N. G. 1 2009 Proper holomorphic maps between Reinhardt domains in \(\mathbb C^2\). Zbl 1122.32011Isaev, Alexander V.; Kruzhilin, N. G. 9 2006 Holomorphic equivalence of tube domains in \(\mathbb{C}^{2}\). Zbl 1351.32002Kruzhilin, N. G.; Soldatkin, P. A. 3 2006 Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces. Zbl 1073.32021Kruzhilin, Nikolai; Sukhov, Alexandre 4 2005 Affine and holomorphic equivalence of tube domains in \(\mathbb C^2\). Zbl 1065.32001Kruzhilin, N. G.; Soldatkin, P. A. 5 2004 Effective actions of \(SU_n\) on complex \(n\)-dimensional manifolds. Zbl 1040.32023Isaev, A. V.; Kruzhilin, N. G. 4 2004 Effective actions of the unitary group on complex manifolds. Zbl 1026.32053Isaev, A. V.; Kruzhilin, N. G. 18 2002 Holomorphic disks with boundaries in totally real tori in \(\mathbb{C}^ 2\). Zbl 0842.32011Kruzhilin, N. G. 1 1994 Two-dimensional spheres on the boundaries of pseudoconvex domains in \(\mathbb{C}^ 2\). Zbl 0744.32004Kruzhilin, N. G. 8 1991 Two-dimensional spheres in the boundaries of strictly pseudoconvex domains in \(\mathbb{C}^ 2\). Zbl 0778.32003Kruzhilin, N. G. 1 1991 Holomorphic automorphisms of hyperbolic Reinhardt domains. Zbl 0663.32019Kruzhilin, N. G. 13 1989 Holomorphic automorphisms of hyperbolic Reinhardt domains. Zbl 0638.32024Kruzhilin, N. G. 6 1988 Description of automorphism groups of real hypersurfaces of a complex space. Zbl 0683.32015Vitushkin, A. G.; Kruzhilin, N. G. 1 1987 Extension of holomorphic mappings along real-analytic hypersurfaces. Zbl 0593.32008Vitushkin, A. G.; Ezhov, V. V.; Kruzhilin, N. G. 1 1986 Continuation of holomorphic mappings along real-analytic hypersurfaces. Zbl 0575.32011Vitushkin, A. G.; Ezhov, V. V.; Kruzhilin, N. G. 4 1985 Linearization of local automorphisms of pseudoconvex surfaces. Zbl 0582.32040Kruzhilin, N. G.; Loboda, A. B. 19 1983 Extension of local mappings of pseudoconvex surfaces. Zbl 0558.32003Vitushkin, A. G.; Ezhov, V. V.; Kruzhilin, N. G. 4 1983 all cited Publications top 5 cited Publications all top 5 Cited by 93 Authors 25 Isaev, Alexander 9 Kolář, Martin 6 Kruzhilin, Nikolai Georgievich 5 Suetin, Sergeĭ Pavlovich 5 Sukhov, Alexandre B. 4 Kodama, Akio 4 Meylan, Francine 4 Shimizu, Satoru 3 Buslaev, Viktor Ivanovich 3 Kossovskiy, Il’ya Grigor’evich 3 Krantz, Steven George 3 Tomassini, Giuseppe 3 Tumanov, Alexander 3 Zaitsev, Dmitri 2 Baouendi, Mohammed Salah 2 Ezhov, Vladimir Vladimirovich 2 Forstnerič, Franc 2 Kim, Kang-Tae 2 Kosiński, Łukasz 2 Lamel, Bernhard 2 Rothschild, Linda Preiss 2 Tulyakov, Dmitrii N. 2 Zhou, Xiangyu 1 Alexandre, William 1 Alper, Jarod 1 Andrist, Rafael B. 1 Aranson, Samuil Khaĭmovich 1 Bedford, Eric 1 Bharali, Gautam 1 Burns, Daniel M. jun. 1 Byun, Jisoo 1 Chirka, Evgeni M. 1 Citti, Giovanna 1 Dadok, Jiri 1 Della Sala, Giuseppe 1 Deng, FuSheng 1 Diederich, Klas 1 Dolbeault, Pierre 1 Duval, Julien 1 Eastwood, Michael G. 1 Ebenfeldt, P. 1 Ebenfelt, Peter 1 Fedorchuk, Maksym 1 Fels, Gregor 1 Fornæss, John Erik 1 Fridman, Buma L. 1 Gaussier, Hervé 1 Gayet, Damien 1 Geatti, Laura 1 Gupta, Purvi 1 Huckleberry, Alan Trinler 1 Iannuzzi, Andrea 1 Kaup, Wilhelm Gerhard 1 Khimshiashvili, Giorgi 1 Komlov, Aleksandr V. 1 Kruglikov, Boris S. 1 Kutzschebauch, Frank 1 Lapik, M. A. 1 Loeb, Jean-Jacques 1 López Lagomasino, Guillermo Tomás 1 Lysov, Vladimir G. 1 Ma, Daowei 1 Machavariani, Nikoloz 1 Mazzilli, Emmanuel 1 Merker, Joël 1 Mir, Nordine 1 Ninh Văn Thu 1 Palv’elev, Roman Vital’evich 1 Pflug, Peter 1 Porten, Egmont 1 Rakhmanov, Evgenij Andreevich 1 Reiter, Michael 1 Scalari, Alberto 1 Schmalz, Gerd 1 Sergeev, Armen Glebovich 1 Shafikov, Rasul Gazimovich 1 Shcherbina, Nikolay 1 Sibony, Nessim 1 Soldatkin, P. A. 1 Starovoĭtov, Aleksandr Pavlovich 1 The, Dennis 1 Urbanski Wawrzyniak, Chloe 1 Van Assche, Walter 1 Verdiani, Luigi 1 Verma, Kaushal 1 Vigué, Jean-Pierre 1 Wang, Wei 1 Wu, Qingyan 1 Yoccoz, Jean-Christophe 1 Zapałowski, Paweł 1 Zhuzhoma, Evgeniĭ Viktorovich 1 Zimmer, Andrew M. 1 Zwonek, Włodzimierz all top 5 Cited in 42 Serials 16 The Journal of Geometric Analysis 13 Proceedings of the Steklov Institute of Mathematics 7 Mathematische Annalen 5 Advances in Mathematics 5 Michigan Mathematical Journal 4 Transactions of the American Mathematical Society 3 Mathematical Notes 3 Russian Mathematical Surveys 3 Tôhoku Mathematical Journal. Second Series 3 Sbornik: Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis Mathematica 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 Proceedings of the American Mathematical Society 2 Science in China. Series A 2 Journal of Mathematical Sciences (New York) 2 Complex Analysis and its Synergies 1 Israel Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Izvestiya: Mathematics 1 Geometry & Topology 1 Acta Mathematica Sinica. English Series 1 Complex Variables and Elliptic Equations 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Journal of Commutative Algebra 1 Bulletin of Mathematical Sciences all top 5 Cited in 19 Fields 86 Several complex variables and analytic spaces (32-XX) 13 Functions of a complex variable (30-XX) 8 Algebraic geometry (14-XX) 7 Approximations and expansions (41-XX) 6 Commutative algebra (13-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year