# zbMATH — the first resource for mathematics

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 Documents Indexed: 76 Publications since 1985, including 2 Books
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#### Co-Authors

 23 single-authored 12 McCrory, Clint G. 10 Kurdyka, Krzysztof 6 Rainer, Armin 5 Paunescu, Laurentiu 5 Rond, Guillaume 4 Koike, Satoshi 4 Pragacz, Piotr 3 Bilski, Marcin 3 Fukui, Toshizumi 3 Kuo, Tzee-Char 2 Bierstone, Edward 2 Coste, Michel 2 Henry, Jean-Pierre-Georges 2 Szafraniec, Zbigniew 1 Bruveris, Martins 1 Campesato, Jean-Baptiste 1 Guillermou, Stéphane 1 Gwoździewicz, Janusz 1 Lebeau, Gilles 1 Marzantowicz, Wacław 1 McCallum, Scott 1 Michor, Peter Wolfram 1 Milman, Pierre D. 1 Mostowski, Tadeusz 1 Rolin, Jean-Philippe 1 Schapira, Pierre 1 Schneiders, Jean-Pierre
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#### Serials

 7 Journal of Algebraic Geometry 4 Proceedings of the American Mathematical Society 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Compositio Mathematica 3 Mathematische Annalen 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Studia Mathematica 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Demonstratio Mathematica 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Astérisque 1 Panoramas et Synthèses 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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#### Fields

 50 Several complex variables and analytic spaces (32-XX) 45 Algebraic geometry (14-XX) 9 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

65 Publications have been cited 504 times in 316 Documents Cited by Year
Proof of the gradient conjecture of R. Thom. Zbl 1053.37008
2000
Lipschitz stratification of subanalytic sets. Zbl 0819.32007
1994
On the bifurcation set of a complex polynomial with isolated singularities at infinity. Zbl 0840.32007
1995
Characteristic classes of hypersurfaces and characteristic cycles. Zbl 1072.14505
2001
Subanalytic functions. Zbl 0819.32006
1994
$$w_ f$$-stratification of subanalytic functions and the Łojasiewicz inequality. Zbl 0799.32007
1994
Virtual Betti numbers of real algebraic varieties. Zbl 1073.14071
2003
Algebraically constructible functions. Zbl 0913.14018
1997
Chern-Schwartz-MacPherson classes and the Euler characteristic of degeneracy loci and special divisors. Zbl 0857.14003
1995
Lipschitz properties of semi-analytic sets. Zbl 0631.32006
1988
A generalization of the Milnor number. Zbl 0617.32012
1988
Arc-symmetric sets and arc-analytic mappings. Zbl 1144.14304
2007
The weight filtration for real algebraic varieties. Zbl 1240.14012
2011
Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity. Zbl 1375.32048
2017
A function which is arc-analytic but not continuous. Zbl 0739.32009
Bierstone, E.; Milman, P. D.; Parusiński, A.
1991
Motivic-type invariants of blow-analytic equivalence. Zbl 1062.14006
2003
Limits of tangent spaces to fibres and the $$w_ f$$ condition. Zbl 0798.32030
1993
Topology of injective endomorphisms of real algebraic sets. Zbl 1069.14063
2004
Existence of moduli for bi-Lipschitz equivalence of analytic functions. Zbl 1026.32055
2003
A formula for the Euler characteristic of singular hypersurfaces. Zbl 0834.32009
1995
Multiplicity of the dual variety. Zbl 0714.14027
1991
The Abhyankar-Jung theorem. Zbl 1268.13008
2012
Topology of real algebraic sets of dimension 4: Necessary conditions. Zbl 0965.14031
2000
Topological triviality of $$\mu$$-constant deformations of type $$f(x)+tg(x)$$. Zbl 1020.32021
1999
Local topological algebraicity of analytic function germs. Zbl 1365.32005
Bilski, Marcin; Parusiński, Adam; Rond, Guillaume
2017
Quasi-convex decomposition in o-minimal structures. Application to the gradient conjecture. Zbl 1132.32004
2006
Algebraically constructible functions and signs of polynomials. Zbl 0913.14019
1997
A criterion for topological equivalence of two variable complex analytic function germs. Zbl 1154.32011
2008
Algebraically constructible functions: real algebra and topology. Zbl 1143.14311
2007
Invariants of bi-Lipschitz equivalence of real analytic functions. Zbl 1059.32006
2004
Newton polygon relative to an arc. Zbl 0937.14038
Kuo, T.-C.; Parusiński, A.
2000
Complex monodromy and the topology of real algebraic sets. Zbl 0949.14037
1997
Lipschitz stratification. Zbl 0932.32010
1993
Lipschitz stratification of real analytic sets. Zbl 0666.32011
1988
Regularity of roots of polynomials. Zbl 1357.26023
2016
Newton-Puiseux roots of Jacobian determinants. Zbl 1061.32002
2004
On the preparation theorem for subanalytic functions. Zbl 0994.32007
2001
Validity proof of Lazard’s method for CAD construction. Zbl 1419.14084
McCallum, Scott; Parusiński, Adam; Paunescu, Laurentiu
2019
The weight filtration for real algebraic varieties. II: Classical homology. Zbl 1307.14080
2014
Equivalence relations for two variable real analytic function germs. Zbl 1266.32009
2013
Blow-analytic equivalence of two variable real analytic function germs. Zbl 1197.14059
2010
Parusiński, A.
1990
Algebraic stratified general position and transversality. Zbl 1408.32007
McCrory, Clint; Parusiński, Adam; Păunescu, Laurenţiu
2019
Real intersection homology. Zbl 1423.14335
2018
A new proof of Bronshtein’s theorem. Zbl 1339.26032
2015
A note on the Weierstrass preparation theorem in quasianalytic local rings. Zbl 1303.14067
2014
On the non-analyticity locus of an arc-analytic function. Zbl 1271.32033
2012
Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313
Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu
2007
On the number of solutions of an algebraic equation on the curve $$y = e^{x} +\sin x, x>0$$, and a consequence for o-minimal structures. Zbl 0916.03026
Gwozdziewicz, Janusz; Kurdyka, Krzysztof; Parusinski, Adam
1999
On the Euler characteristic of fibres of real polynomial maps. Zbl 0915.14032
1998
Blow-analytic retraction onto the central fibre. Zbl 0899.32014
1998
A note on singularities at infinity of complex polynomials. Zbl 0882.32018
1997
Characteristic numbers of degeneracy loci. Zbl 0756.32019
1991
Regular projections for sub-analytic sets. Zbl 0649.32007
1988
Periodic solutions near an equilibrium of a differential equation with a first integral. Zbl 0651.34040
1987
Optimal Sobolev regularity of roots of polynomials. Zbl 1435.30019
2018
Global smoothing of a subanalytic set. Zbl 1411.32007
2018
Moser’s theorem on manifolds with corners. Zbl 1398.58004
Bruveris, Martins; Michor, Peter W.; Parusiński, Adam; Rainer, Armin
2018
Higher order approximation of analytic sets by topologically equivalent algebraic sets. Zbl 1393.32012
Bilski, Marcin; Kurdyka, Krzysztof; Parusiński, Adam; Rond, Guillaume
2018
Regular subanalytic covers. Zbl 1373.32006
2016
Lifting differentiable curves from orbit spaces. Zbl 1337.14037
2016
Approximation of holomorphic maps from Runge domains to affine algebraic varieties. Zbl 1312.32004
2014
Bi-Lipschitz trivialization of the distance function to a stratum of a stratification. Zbl 1090.32016
2005
On Puiseux roots of Jacobians. Zbl 1015.32025
2002
Algebraic equisingularity and Whitney’s conditions. Zbl 0588.32013
1985
Validity proof of Lazard’s method for CAD construction. Zbl 1419.14084
McCallum, Scott; Parusiński, Adam; Paunescu, Laurentiu
2019
Algebraic stratified general position and transversality. Zbl 1408.32007
McCrory, Clint; Parusiński, Adam; Păunescu, Laurenţiu
2019
Real intersection homology. Zbl 1423.14335
2018
Optimal Sobolev regularity of roots of polynomials. Zbl 1435.30019
2018
Global smoothing of a subanalytic set. Zbl 1411.32007
2018
Moser’s theorem on manifolds with corners. Zbl 1398.58004
Bruveris, Martins; Michor, Peter W.; Parusiński, Adam; Rainer, Armin
2018
Higher order approximation of analytic sets by topologically equivalent algebraic sets. Zbl 1393.32012
Bilski, Marcin; Kurdyka, Krzysztof; Parusiński, Adam; Rond, Guillaume
2018
Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity. Zbl 1375.32048
2017
Local topological algebraicity of analytic function germs. Zbl 1365.32005
Bilski, Marcin; Parusiński, Adam; Rond, Guillaume
2017
Regularity of roots of polynomials. Zbl 1357.26023
2016
Regular subanalytic covers. Zbl 1373.32006
2016
Lifting differentiable curves from orbit spaces. Zbl 1337.14037
2016
A new proof of Bronshtein’s theorem. Zbl 1339.26032
2015
The weight filtration for real algebraic varieties. II: Classical homology. Zbl 1307.14080
2014
A note on the Weierstrass preparation theorem in quasianalytic local rings. Zbl 1303.14067
2014
Approximation of holomorphic maps from Runge domains to affine algebraic varieties. Zbl 1312.32004
2014
Equivalence relations for two variable real analytic function germs. Zbl 1266.32009
2013
The Abhyankar-Jung theorem. Zbl 1268.13008
2012
On the non-analyticity locus of an arc-analytic function. Zbl 1271.32033
2012
The weight filtration for real algebraic varieties. Zbl 1240.14012
2011
Blow-analytic equivalence of two variable real analytic function germs. Zbl 1197.14059
2010
A criterion for topological equivalence of two variable complex analytic function germs. Zbl 1154.32011
2008
Arc-symmetric sets and arc-analytic mappings. Zbl 1144.14304
2007
Algebraically constructible functions: real algebra and topology. Zbl 1143.14311
2007
Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313
Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu
2007
Quasi-convex decomposition in o-minimal structures. Application to the gradient conjecture. Zbl 1132.32004
2006
Bi-Lipschitz trivialization of the distance function to a stratum of a stratification. Zbl 1090.32016
2005
Topology of injective endomorphisms of real algebraic sets. Zbl 1069.14063
2004
Invariants of bi-Lipschitz equivalence of real analytic functions. Zbl 1059.32006
2004
Newton-Puiseux roots of Jacobian determinants. Zbl 1061.32002
2004
Virtual Betti numbers of real algebraic varieties. Zbl 1073.14071
2003
Motivic-type invariants of blow-analytic equivalence. Zbl 1062.14006
2003
Existence of moduli for bi-Lipschitz equivalence of analytic functions. Zbl 1026.32055
2003
On Puiseux roots of Jacobians. Zbl 1015.32025
2002
Characteristic classes of hypersurfaces and characteristic cycles. Zbl 1072.14505
2001
On the preparation theorem for subanalytic functions. Zbl 0994.32007
2001
Proof of the gradient conjecture of R. Thom. Zbl 1053.37008
2000
Topology of real algebraic sets of dimension 4: Necessary conditions. Zbl 0965.14031
2000
Newton polygon relative to an arc. Zbl 0937.14038
Kuo, T.-C.; Parusiński, A.
2000
Topological triviality of $$\mu$$-constant deformations of type $$f(x)+tg(x)$$. Zbl 1020.32021
1999
On the number of solutions of an algebraic equation on the curve $$y = e^{x} +\sin x, x>0$$, and a consequence for o-minimal structures. Zbl 0916.03026
Gwozdziewicz, Janusz; Kurdyka, Krzysztof; Parusinski, Adam
1999
On the Euler characteristic of fibres of real polynomial maps. Zbl 0915.14032
1998
Blow-analytic retraction onto the central fibre. Zbl 0899.32014
1998
Algebraically constructible functions. Zbl 0913.14018
1997
Algebraically constructible functions and signs of polynomials. Zbl 0913.14019
1997
Complex monodromy and the topology of real algebraic sets. Zbl 0949.14037
1997
A note on singularities at infinity of complex polynomials. Zbl 0882.32018
1997
On the bifurcation set of a complex polynomial with isolated singularities at infinity. Zbl 0840.32007
1995
Chern-Schwartz-MacPherson classes and the Euler characteristic of degeneracy loci and special divisors. Zbl 0857.14003
1995
A formula for the Euler characteristic of singular hypersurfaces. Zbl 0834.32009
1995
Lipschitz stratification of subanalytic sets. Zbl 0819.32007
1994
Subanalytic functions. Zbl 0819.32006
1994
$$w_ f$$-stratification of subanalytic functions and the Łojasiewicz inequality. Zbl 0799.32007
1994
Limits of tangent spaces to fibres and the $$w_ f$$ condition. Zbl 0798.32030
1993
Lipschitz stratification. Zbl 0932.32010
1993
A function which is arc-analytic but not continuous. Zbl 0739.32009
Bierstone, E.; Milman, P. D.; Parusiński, A.
1991
Multiplicity of the dual variety. Zbl 0714.14027
1991
Characteristic numbers of degeneracy loci. Zbl 0756.32019
1991
Parusiński, A.
1990
Lipschitz properties of semi-analytic sets. Zbl 0631.32006
1988
A generalization of the Milnor number. Zbl 0617.32012
1988
Lipschitz stratification of real analytic sets. Zbl 0666.32011
1988
Regular projections for sub-analytic sets. Zbl 0649.32007
1988
Periodic solutions near an equilibrium of a differential equation with a first integral. Zbl 0651.34040
1987
Algebraic equisingularity and Whitney’s conditions. Zbl 0588.32013
1985
all top 5

#### Cited by 341 Authors

 23 Parusiński, Adam 14 Aluffi, Paolo 14 Kurdyka, Krzysztof 11 Paunescu, Laurentiu 8 Birbrair, Lev 8 Fichou, Goulwen 8 Grandjean, Vincent 8 Maxim, Laurentiu G. 7 Valette, Guillaume 6 Fernandes, Alexandre Cesar Gurgel 6 McCrory, Clint G. 5 Koike, Satoshi 5 Priziac, Fabien 5 Spodzieja, Stanisław 5 Tibăr, Mihai-Marius 4 Comte, Georges 4 Dias, Luis Renato Gonçalves 4 Phạm Tiên So’n 4 Rainer, Armin 4 Rolin, Jean-Philippe 4 Rond, Guillaume 4 Soares Ruas, Maria Aparecida 4 Sanz Sánchez, Fernando 4 Schürmann, Jörg 4 Seade, Jose Antonio 4 Takeuchi, Kiyoshi 4 Trotman, David John Angelo 3 Adamus, Janusz 3 Bolte, Jérôme 3 Brasselet, Jean-Paul 3 Campesato, Jean-Baptiste 3 da Cruz Neto, João Xavier 3 Daniilidis, Aris 3 Dutertre, Nicolas 3 Ferreira Costa, João Carlos 3 Fischer, Andreas M. 3 García Barroso, Evelia Rosa 3 Gwoździewicz, Janusz 3 Hà Huy Vui 3 Kucharz, Wojciech 3 Matsui, Yutaka 3 Monnier, Jean-Philippe 3 Nguyen Hong Duc 3 Nowel, Aleksandra 3 Oliveira, Paulo Roberto 3 Pawłucki, Wiesław 3 Rodak, Tomasz 3 Rybicki, Sławomir Maciej 3 Saito, Morihiko 3 Sedykh, Vyacheslav Dmitrievich 3 Siersma, Dirk 3 Szafraniec, Zbigniew 3 Wang, Botong 2 Abderrahmane, Ould M. 2 Absil, Pierre-Antoine 2 Bartłomiejczyk, Piotr 2 Bento, Glaydston de Carvalho 2 Bierstone, Edward 2 Chouzenoux, Emilie 2 Cluckers, Raf 2 Davenport, James Harold 2 de Góes Grulha, Nivaldo jun. 2 Dinh, Si Tiep 2 England, Matthew 2 Ernström, Lars 2 Fernando, José F. 2 Fukui, Toshizumi 2 Ghiloni, Riccardo 2 Gorodnik, Alexander 2 Helmke, Uwe R. 2 Kaiser, Tobias 2 Kollár, János 2 Kuo, Tzee-Char 2 Lehmann, Daniel J. 2 Lenarcik, Andrzej 2 Ley, Olivier 2 Lion, Jean-Marie 2 Łojasiewicz, Stanisław 2 McCallum, Scott 2 Melle-Hernández, Alejandro 2 Milman, Pierre D. 2 Neelon, Tejinder Singh 2 Neumann, Walter David 2 Nevo, Amos 2 Nowak-Przygodzki, Piotr 2 Pérez-Chavela, Ernesto 2 Pesquet, Jean-Christophe 2 Rabanal, Roland 2 Repetti, Audrey 2 Rimányi, Richárd 2 Rodriguez, Jose Israel 2 Servi, Tamara 2 Seyedinejad, Hadi 2 Soubeyran, Antoine 2 Strzelecki, Daniel 2 Suwa, Tatsuo 2 Szlachcińska, Anna 2 Tancredi, Alessandro 2 Yokura, Shoji 2 Yomdin, Yosef ...and 241 more Authors
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#### Cited in 116 Serials

 28 Annales de l’Institut Fourier 14 Advances in Mathematics 13 Mathematische Zeitschrift 12 Manuscripta Mathematica 12 Transactions of the American Mathematical Society 11 Mathematische Annalen 10 Proceedings of the American Mathematical Society 8 Topology and its Applications 7 Journal of the Mathematical Society of Japan 6 Duke Mathematical Journal 6 Journal of Differential Equations 6 Journal of Symbolic Computation 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Optimization Theory and Applications 5 Journal of Algebraic Geometry 4 Communications in Algebra 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Pure and Applied Algebra 4 Michigan Mathematical Journal 3 Journal of Mathematical Analysis and Applications 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Journal of Algebra 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the Japan Academy. Series A 3 International Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Selecta Mathematica. New Series 3 Bulletin des Sciences Mathématiques 3 Geometry & Topology 3 Revista Matemática Complutense 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Singularities 2 Journal of Geometry and Physics 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Kodai Mathematical Journal 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Systems & Control Letters 2 Journal of Complexity 2 MCSS. Mathematics of Control, Signals, and Systems 2 The Journal of Geometric Analysis 2 Journal of Global Optimization 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Calculus of Variations and Partial Differential Equations 2 Annals of Mathematics. Second Series 2 Qualitative Theory of Dynamical Systems 2 Foundations of Computational Mathematics 2 Journal of Fixed Point Theory and Applications 2 Forum of Mathematics, Sigma 1 Classical and Quantum Gravity 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 The Journal of Symbolic Logic 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Annals of Pure and Applied Logic 1 Computer Aided Geometric Design 1 Discrete & Computational Geometry 1 $$K$$-Theory 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Analysis (München) 1 Journal of the European Mathematical Society (JEMS) ...and 16 more Serials
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#### Cited in 44 Fields

 198 Algebraic geometry (14-XX) 155 Several complex variables and analytic spaces (32-XX) 39 Global analysis, analysis on manifolds (58-XX) 30 Manifolds and cell complexes (57-XX) 26 Real functions (26-XX) 25 Mathematical logic and foundations (03-XX) 22 Dynamical systems and ergodic theory (37-XX) 16 Commutative algebra (13-XX) 15 Differential geometry (53-XX) 15 Operations research, mathematical programming (90-XX) 14 Ordinary differential equations (34-XX) 14 Algebraic topology (55-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Functions of a complex variable (30-XX) 11 Computer science (68-XX) 9 Numerical analysis (65-XX) 8 Number theory (11-XX) 8 Partial differential equations (35-XX) 6 Field theory and polynomials (12-XX) 5 Operator theory (47-XX) 4 $$K$$-theory (19-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)