Xavier Gómez-Mont

Mathematics Research Center — Mexico

Mathematics · Physical Sciences

12h-index555citations53works0.02yr avg
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Research Topics

Algebraic Geometry and Number Theory(22), Advanced Differential Equations and Dynamical Systems(19), Mathematical Dynamics and Fractals(13), Homotopy and Cohomology in Algebraic Topology(9), Meromorphic and Entire Functions(9)

Publications53 total

Bilinear forms in the Jacobian module and binding of N-spectral chains of a hypersurface with an isolated singularity
Boletín de la Sociedad Matemática Mexicana·2023
On a quadratic form associated with a surface automorphism and its applications to Singularity Theory
Indagationes Mathematicae·2022Open Access
Bilinear forms in the Jacobian module and binding of $N$-spectral chains of a hypersurface with an isolated singularity
arXiv (Cornell University)·2022Open Access
On a quadratic form associated with a surface automorphism and its\n applications to Singularity Theory
arXiv (Cornell University)·2020Open Access
On a quadratic form associated with a surface automorphism and its applications to Singularity Theory
arXiv (Cornell University)·2020Open Access
Foliated hyperbolicity and foliations with hyperbolic leaves
Ergodic Theory and Dynamical Systems·2018· 10 citedOpen Access
On the hyperhomology of the small Gobelin in codimension 2
Boletín de la Sociedad Matemática Mexicana·2015
Grothendieck residue in the Jacobian algebra and cup product in vanishing cohomology
Centre International de Rencontres Mathématiques·2015Open Access
On the Hyperhomology of the Small Gobelin in Codimension 2
arXiv (Cornell University)·2014Open Access
On the Hyperhomology of the Small Gobelin in Codimension 2
arXiv (Cornell University)·2014Open Access
SOME ATTRACTORS IN THE EXTENDED COMPLEX LORENZ MODEL
International Journal of Bifurcation and Chaos·2013· 8 cited
The Attractors in the Complex Lorenz Model
IFAC Proceedings Volumes·2012· 2 cited
Dynamic maps in phase-conjugated optical resonators
Optics Communications·2010· 5 cited
Statistical behaviour of the leaves of Riccati foliations
Ergodic Theory and Dynamical Systems·2009· 11 cited
Statistical Behaviour of the Leaves of Riccati Foliations
arXiv (Cornell University)·2008· 5 citedOpen Access
The Homological Index of a Vector Field on an Isolated Complete Intersection Singularity
2008
An Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity
Annales de l’institut Fourier·2008· 11 citedOpen Access
Flags in zero dimensional complete intersection algebras and indices of real vector fields
Mathematische Zeitschrift·2007· 6 citedOpen Access
An algebraic formula for the index of a vector field on an isolated complete intersection singularity
arXiv (Cornell University)·2006Open Access
The Foliated Geodesic Flow on Riccati Equations (複素力学系 Complex Dynamic)
数理解析研究所講究録·2005
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Frequent Co-authors

Christian Bonatti(7), Pavao Mardešić(5), Luis Giraldo(5), Alberto Verjovsky(4), Ricardo Vila-Freyer(4), José Seade(3), Luis Núñez‐Betancourt(3), Manuel González Villa(3), Pablo Portilla Cuadrado(3), Ch. Bonatti(2), Wolfgang Ebeling(2), J.J. Flores-Godoy(2), Miguel Angel Dela–Rosa(2), Enrique Artal Bartolo(2), Lilia Alanís-López(2), Marcelo Viana(1), George R. Kempf(1), Alcides Lins-Neto(1), Alberto Candel(1), H.-Ch. Bothmer(1)