Edit Profile (opens in new tab) Gómez-Mont, Xavier Compute Distance To: Compute Author ID: gomez-mont.xavier Published as: Gómez-Mont, Xavier; Gómez-Mont, X.; Gomez-Mont, Xavier; Gomez-Mont, X.; Gomez Mont, Xavier; Gómez Mont, Xavier more...less Documents Indexed: 52 Publications since 1979, including 1 Book 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 29 Co-Authors with 33 Joint Publications 582 Co-Co-Authors all top 5 Co-Authors 23 single-authored 6 Bonatti, Christian 5 Giraldo, Luis 5 Mardešić, Pavao 4 Seade, Jose Antonio 4 Verjovsky, Alberto 2 Ortiz-Bobadilla, Laura 2 Wirtz, Bruno 1 Alanís-López, Lilia 1 Artal Bartolo, Enrique 1 Brambila-Paz, Gloria Leticia 1 Candel, Alberto 1 de la Peña, José Antonio 1 Ebeling, Wolfgang 1 Fenandez-Anaya, G. 1 Flores-Godoy, José Job 1 Ghys, Étienne 1 Graf von Bothmer, Hans-Christian 1 Kempf, George R. 1 Lins Neto, Alcides 1 Luengo, Ignacio 1 Martínez, Matilde 1 Montejano Peimbert, Luis 1 Muciño, Jesús 1 Núñez-Betancourt, Luis 1 Portilla Cuadrado, Pablo 1 Saludes, Jodi 1 Sundararaman, Duraiswami 1 Viana, Marcelo 1 Villa, Manuel González all top 5 Serials 4 Annales de l’Institut Fourier 3 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Anales del Instituto de Matemáticas 2 Functional Analysis and its Applications 2 Ergodic Theory and Dynamical Systems 2 Aportaciones Matemáticas. Notas de Investigación 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Topology 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Publicacions Matemàtiques 1 Indagationes Mathematicae. New Series 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Algebraic Geometry 1 Annals of Mathematics. Second Series 1 Miscelánea Matemática 1 Aportaciones Matemáticas. Comunicaciones 1 Lecture Notes in Mathematics 1 Revista Mexicana Física all top 5 Fields 33 Several complex variables and analytic spaces (32-XX) 21 Algebraic geometry (14-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Manifolds and cell complexes (57-XX) 10 Global analysis, analysis on manifolds (58-XX) 5 Commutative algebra (13-XX) 5 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 345 times in 251 Documents Cited by ▼ Year ▼ The index of a holomorphic flow with an isolated singularity. Zbl 0725.32012Gómez-Mont, X.; Seade, J.; Verjovsky, A. 46 1992 Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo 45 2003 Structural stability of singular holomorphic foliations having a meromorphic first integral. Zbl 0735.57014Gómez-Mont, Xavier; Lins Neto, Alcides 23 1991 An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity. Zbl 0956.32029Gómez-Mont, Xavier 23 1998 Transversal holomorphic structures. Zbl 0492.57009Gomez-Mont, Xavier 16 1980 Holomorphic dynamical systems on manifolds. (Sistemas dinamicos holomorfos en superficies.) Zbl 0855.58049Gomez-Mont, X.; Ortiz-Bobadilla, L. 16 1989 Statistical behaviour of the leaves of certain holomorphic foliations. (Sur le comportement statistique des feuilles de certains feuilletages holomorphes.) Zbl 1010.37025Bonatti, Christian; Gómez-Mont, Xavier 15 2001 Uniformization of the leaves of a rational vector field. Zbl 0832.32017Candel, Alberto; Gómez-Mont, Xavier 15 1995 Germs of holomorphic vector fields in \(\mathbb{C}^ 3\) without a separatrix. Zbl 0774.32019Gómez-Mont, Xavier; Luengo, Ignacio 13 1992 Stability of meromorphic vector fields in projective spaces. Zbl 0709.14008Gómez-Mont, Xavier; Kempf, George 13 1989 Integrals for holomorphic foliations with singularities having all leaves compact. Zbl 0667.58052Gomez-Mont, Xavier 11 1989 The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian. Zbl 0946.32016Gómez-Mont, X.; Mardešić, P. 11 1999 Holomorphic foliations in ruled surfaces. Zbl 0669.57012Gómez-Mont, Xavier 10 1989 Statistical behaviour of the leaves of Riccati foliations. Zbl 1209.37055Bonatti, Ch.; Gómez-Mont, X.; Vila-Freyer, R. 10 2010 The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant. Zbl 0891.32013Gómez-Mont, Xavier; Mardešić, Pavao 8 1997 An algebraic formula for the index of a vector field on an isolated complete intersection singularity. Zbl 1168.32023Graf von Bothmer, H.-Christian; Ebeling, Wolfgang; Gómez-Mont, Xavier 8 2008 The transverse dynamics of a holomorphic flow. Zbl 0639.32013Gómez-Mont, Xavier 7 1988 Universal families of foliations by curves. Zbl 0641.32014Gomez-Mont, Xavier 7 1987 Topology of a holomorphic vector field around an isolated singularity. Zbl 0812.32019Gomez-Mont, X.; Seade, J.; Verjovsky, A. 6 1993 The index of holomorphic vector fields on singular varieties. I. Zbl 0810.32017Bonatti, Ch.; Gómez-Mont, X. 5 1994 Fatou and Julia components of transversely holomorphic foliations. Zbl 1013.37043Ghys, Étienne; Gómez-Mont, Xavier; Saludes, Jodi 4 2001 Persistent cycles for holomorphic foliations having a meromorphic first integral. Zbl 0681.58032Gómez-Mont, Xavier; Muciño, Jesús 4 1988 On fixed points of conformal pseudogroups. Zbl 0853.58112Gómez-Mont, Xavier; Wirtz, Bruno 4 1995 Foliations by curves of complex analytic spaces. Zbl 0614.32013Gómez-Mont, Xavier 3 1987 On the index of vector fields tangent to hypersurfaces with non-isolated singularities. Zbl 1022.32011Giraldo, L.; Gómez-Mont, X.; Mardešić, P. 3 2002 Flags in zero dimensional complete intersection algebras and indices of real vector fields. Zbl 1175.58015Giraldo, L.; Gómez-Mont, X.; Mardešić, P. 3 2008 A law of conservation of number for local Euler characteristics. Zbl 1051.32010Giraldo, L.; Gómez-Mont, X. 3 2002 Foliated hyperbolicity and foliations with hyperbolic leaves. Zbl 1439.37041Bonatti, Christian; Gómez-Mont, Xavier; Martínez, Matilde 2 2020 Unfoldings of holomorphic foliations. Zbl 0706.32009Gómez-Mont, Xavier 2 1989 Transverse deformations of holomorphic foliations. Zbl 0607.32014Gómez-Mont, Xavier 2 1986 Some attractors in the extended complex Lorenz model. Zbl 1277.34013Gómez-Mont, X.; Flores-Godoy, J.-J.; Fenandez-Anaya, G. 2 2013 On closed leaves of holomorphic foliations by curves. Zbl 0694.32012Gómez-Mont, Xavier 2 1989 Proceedings of the first college on Riemann surfaces held in Trieste, Italy, November 9-December 18, 1987. Zbl 0786.00021 1 1989 Locally determined ideals in analytic spaces. Zbl 0526.32013Gomez Mont, Xavier 1 1980 Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces. Zbl 1113.32305Giraldo, Luis; Gómez-Mont, Xavier; Mardešić, Pavao 1 1999 Foliated hyperbolicity and foliations with hyperbolic leaves. Zbl 1439.37041Bonatti, Christian; Gómez-Mont, Xavier; Martínez, Matilde 2 2020 Some attractors in the extended complex Lorenz model. Zbl 1277.34013Gómez-Mont, X.; Flores-Godoy, J.-J.; Fenandez-Anaya, G. 2 2013 Statistical behaviour of the leaves of Riccati foliations. Zbl 1209.37055Bonatti, Ch.; Gómez-Mont, X.; Vila-Freyer, R. 10 2010 An algebraic formula for the index of a vector field on an isolated complete intersection singularity. Zbl 1168.32023Graf von Bothmer, H.-Christian; Ebeling, Wolfgang; Gómez-Mont, Xavier 8 2008 Flags in zero dimensional complete intersection algebras and indices of real vector fields. Zbl 1175.58015Giraldo, L.; Gómez-Mont, X.; Mardešić, P. 3 2008 Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo 45 2003 On the index of vector fields tangent to hypersurfaces with non-isolated singularities. Zbl 1022.32011Giraldo, L.; Gómez-Mont, X.; Mardešić, P. 3 2002 A law of conservation of number for local Euler characteristics. Zbl 1051.32010Giraldo, L.; Gómez-Mont, X. 3 2002 Statistical behaviour of the leaves of certain holomorphic foliations. (Sur le comportement statistique des feuilles de certains feuilletages holomorphes.) Zbl 1010.37025Bonatti, Christian; Gómez-Mont, Xavier 15 2001 Fatou and Julia components of transversely holomorphic foliations. Zbl 1013.37043Ghys, Étienne; Gómez-Mont, Xavier; Saludes, Jodi 4 2001 The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian. Zbl 0946.32016Gómez-Mont, X.; Mardešić, P. 11 1999 Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces. Zbl 1113.32305Giraldo, Luis; Gómez-Mont, Xavier; Mardešić, Pavao 1 1999 An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity. Zbl 0956.32029Gómez-Mont, Xavier 23 1998 The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant. Zbl 0891.32013Gómez-Mont, Xavier; Mardešić, Pavao 8 1997 Uniformization of the leaves of a rational vector field. Zbl 0832.32017Candel, Alberto; Gómez-Mont, Xavier 15 1995 On fixed points of conformal pseudogroups. Zbl 0853.58112Gómez-Mont, Xavier; Wirtz, Bruno 4 1995 The index of holomorphic vector fields on singular varieties. I. Zbl 0810.32017Bonatti, Ch.; Gómez-Mont, X. 5 1994 Topology of a holomorphic vector field around an isolated singularity. Zbl 0812.32019Gomez-Mont, X.; Seade, J.; Verjovsky, A. 6 1993 The index of a holomorphic flow with an isolated singularity. Zbl 0725.32012Gómez-Mont, X.; Seade, J.; Verjovsky, A. 46 1992 Germs of holomorphic vector fields in \(\mathbb{C}^ 3\) without a separatrix. Zbl 0774.32019Gómez-Mont, Xavier; Luengo, Ignacio 13 1992 Structural stability of singular holomorphic foliations having a meromorphic first integral. Zbl 0735.57014Gómez-Mont, Xavier; Lins Neto, Alcides 23 1991 Holomorphic dynamical systems on manifolds. (Sistemas dinamicos holomorfos en superficies.) Zbl 0855.58049Gomez-Mont, X.; Ortiz-Bobadilla, L. 16 1989 Stability of meromorphic vector fields in projective spaces. Zbl 0709.14008Gómez-Mont, Xavier; Kempf, George 13 1989 Integrals for holomorphic foliations with singularities having all leaves compact. Zbl 0667.58052Gomez-Mont, Xavier 11 1989 Holomorphic foliations in ruled surfaces. Zbl 0669.57012Gómez-Mont, Xavier 10 1989 Unfoldings of holomorphic foliations. Zbl 0706.32009Gómez-Mont, Xavier 2 1989 On closed leaves of holomorphic foliations by curves. Zbl 0694.32012Gómez-Mont, Xavier 2 1989 Proceedings of the first college on Riemann surfaces held in Trieste, Italy, November 9-December 18, 1987. Zbl 0786.00021 1 1989 The transverse dynamics of a holomorphic flow. Zbl 0639.32013Gómez-Mont, Xavier 7 1988 Persistent cycles for holomorphic foliations having a meromorphic first integral. Zbl 0681.58032Gómez-Mont, Xavier; Muciño, Jesús 4 1988 Universal families of foliations by curves. Zbl 0641.32014Gomez-Mont, Xavier 7 1987 Foliations by curves of complex analytic spaces. Zbl 0614.32013Gómez-Mont, Xavier 3 1987 Transverse deformations of holomorphic foliations. Zbl 0607.32014Gómez-Mont, Xavier 2 1986 Transversal holomorphic structures. Zbl 0492.57009Gomez-Mont, Xavier 16 1980 Locally determined ideals in analytic spaces. Zbl 0526.32013Gomez Mont, Xavier 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 251 Authors 14 Seade, Jose Antonio 11 Gómez-Mont, Xavier 8 Scardua, Bruno 8 Viana, Marcelo 7 Alvarez, Sébastien 7 Calvo-Andrade, Omegar 7 Suwa, Tatsuo 6 Aleksandrov, Aleksandr Grigor’evich 6 Avila, Artur 6 Ballico, Edoardo 6 Corrêa Barros, Maurício Jun. 6 Ebeling, Wolfgang 6 Gusein-Zade, Sabir M. 6 Pereira, Jorge Vitório 5 Alcántara, Claudia R. 5 Lehmann, Daniel 5 Lins Neto, Alcides 5 Mol, Rogério S. 5 Sibony, Nessim 5 Verjovsky, Alberto 4 Asuke, Taro 4 Backes, Lucas H. 4 Galindo Pastor, Carlos 4 Martínez, Matilde 4 Monserrat, Francisco 4 Nguyên Viêt Anh 4 Rebelo, Julio C. 4 Reis, Helena 4 Rosas, Rudy 4 Sad, Paulo Roberto 4 Soares, Marcio G. 4 Yang, Jiagang 3 Bonatti, Christian 3 Fornæss, John Erik 3 Ito, Toshikazu 3 Mardešić, Pavao 3 Marin, Karina 3 Molinuevo, Ariel 3 Nicolau, Marcel 3 Olivares, Jorge 3 Poletti, Mauricio 3 Vainsencher, Israel 3 Varandas, Paulo 2 Alcalde Cuesta, Fernando 2 Araujo, Carolina 2 Bochi, Jairo 2 Brasselet, Jean-Paul 2 Brown, Aaron W. 2 Brunella, Marco 2 Bukhshtaber, Viktor Matveevich 2 Campillo, Antonio 2 Cano, Felipe 2 Casale, Guy 2 Catuogno, Pedro José 2 Cavalier, Vincent 2 Cisneros-Molina, José Luis 2 Closset, Cyril 2 Corral, Nuria 2 Da Costa, Raphael Constant 2 da Silva Machado, Diogo 2 Dal’bo, Françoise 2 de Góes Grulha, Nivaldo jun. 2 Fernández-Pérez, Arturo 2 Gehlawat, Sahil 2 Kleptsyn, Victor A. 2 Ledesma, Diego Sebastian 2 Leĭkin, Dmitriĭ Viktorovich 2 Mamedova, F. I. 2 Moriyama, Takayuki 2 Movasati, Hossein 2 Muniz, Alan 2 Quallbrunn, Federico 2 Ribón, Javier 2 Ruffino, Paulo Régis C. 2 Saeki, Akihiro 2 Touzet, Frédéric 2 Verma, Kaushal 2 Wilkinson, Amie 2 Wirtz, Bruno 2 Wold, Erlend Fornæss 2 Yamagishi, Yoshikazu 1 Abate, Marco 1 Acosta Humánez, Primitivo Belén 1 Aharony, Ofer 1 Ahern, Patrick B. 1 Alanís-López, Lilia 1 Alberto Quezada-Téllez, Luis 1 Amorós, Jaume 1 Artal Bartolo, Enrique 1 Atsuji, Atsushi 1 Bakhtin, Yuri Yu. 1 Bessa, Mário 1 Biswas, Indranil 1 Blázquez-Sanz, David 1 Blumenthal, Alex 1 Boyer, Charles P. 1 Bretas, Jane 1 Brînzănescu, Vasile 1 Bustinduy, Alvaro 1 Butler, Clark ...and 151 more Authors all top 5 Cited in 100 Serials 19 Annales de l’Institut Fourier 13 Bulletin of the Brazilian Mathematical Society. New Series 10 Functional Analysis and its Applications 10 Boletim da Sociedade Brasileira de Matemática. Nova Série 9 Transactions of the American Mathematical Society 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 6 International Journal of Mathematics 5 Journal of Differential Equations 5 Mathematische Annalen 4 Journal of Geometry and Physics 4 Journal für die Reine und Angewandte Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Revista Matemática Iberoamericana 4 The Journal of Geometric Analysis 3 Communications in Mathematical Physics 3 Advances in Mathematics 3 Commentarii Mathematici Helvetici 3 Journal of the Mathematical Society of Japan 3 Bulletin of the American Mathematical Society. New Series 3 Indagationes Mathematicae. New Series 3 Bulletin des Sciences Mathématiques 3 Journal of High Energy Physics 3 Qualitative Theory of Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Israel Journal of Mathematics 2 Nonlinearity 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Geometriae Dedicata 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Topology and its Applications 2 Journal of the American Mathematical Society 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Conformal Geometry and Dynamics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Complex Variables and Elliptic Equations 2 Journal of Modern Dynamics 2 Journal of Singularities 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Arkiv för Matematik 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Physica D 1 Journal of Symbolic Computation 1 \(K\)-Theory 1 Applied Mathematics Letters 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Experimental Mathematics 1 Potential Analysis 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Dynamical Systems 1 Moscow Mathematical Journal 1 Portugaliae Mathematica. Nova Série 1 Stochastics and Dynamics 1 Journal of the Institute of Mathematics of Jussieu 1 African Diaspora Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Complex Manifolds 1 Annales Henri Lebesgue all top 5 Cited in 28 Fields 150 Several complex variables and analytic spaces (32-XX) 121 Dynamical systems and ergodic theory (37-XX) 61 Algebraic geometry (14-XX) 50 Manifolds and cell complexes (57-XX) 36 Global analysis, analysis on manifolds (58-XX) 28 Differential geometry (53-XX) 15 Ordinary differential equations (34-XX) 10 Commutative algebra (13-XX) 7 Probability theory and stochastic processes (60-XX) 6 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Measure and integration (28-XX) 3 \(K\)-theory (19-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year