Contacto

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(52) 55 56 22 47 73 ext. UNAM: 24773

Publicaciones

• On the singularities of complete holomorphic vector fields in dimension two, artículo panorámico, propuesto para publicación, 2022
• Foliated affine and projective structures, Compos. Math. 169 (2023), no 6, p. 1153-1187 (con Bertrand Deroin)
• On the local univalence of nondegenerate holomorphic vector fields, Comptes Rendus. Mathématique, 358 (2020), no. 7, p. 877-880
• On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line, Comput. Methods Funct. Theory 19 (2019), no. 4, p. 687-716; con Valente Ramírez (versión arxiv)
• Meromorphic vector fields with single-valued solutions on complex surfaces, Adv. Math. 354 (2019), 106742, 41 páginas
• Quadratic differential equations in three variables without multivalued solutions: part I, SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), 122, 46 páginas
• Further Riccati equations with elliptic coefficients and meromorphic solutions, J. Nonlinear Math. Phys., 25 (2018) no. 3, p. 497-508
• Complex differential equations and geometric structures on curves, en Geometrical Themes Inspired by the N-body Problem. Lecture Notes in Math. 2204, Springer, 2018
• Semicomplete vector fields on non-Kähler surfaces, Proc. Japan Acad. Ser. A Math. Sci. 93 (2017) no. 8, p. 73-76
• Infinitesimal actions of R² around isolated fixed points in the plane. Qual. Theory Dyn. Syst. 15 (2016), no. 2, p. 433-451
• A classification of locally homogeneous affine conections on compact surfaces. Ann. Glob. Anal. Geom. 46 (2014) no. 4, p. 335-349 (con Antonia Sánchez Godinez)
• Vector fields, separatrices and Kato surfaces. Ann. Inst. Fourier (Grenoble) 64 (2014) no. 3, p. 1331-1661
• Quasihomogenous analytic affine connections on surfaces. J. Topol. Anal. 5 (2013) no. 4, p. 491-532 (con Sorin Dumitrescu)
• Singular sets of holonomy maps for algebraic foliations. J. Eur. Math. Soc. 15 (2013) no. 3, p. 1067-1099 (con G. Calsamiglia, B. Deroin y S. Frankel)
• Semicomplete meromorphic vector fields on complex surfaces. J. Reine Angew. Math. 667 (2012), p. 27-65 (con Julio Rebelo)
• The geometry of Chazy's homogeneous third-order differential equations Funkcial. Ekvac. 55 (2012) no. 1, p. 67-87
• Some generalizations of Halphen's equations. Osaka J. Math. 48 (2011), p. 1085-1094
• A rigidity phenomenon for germs of actions of R². Ann. Fac. Sci. Toulouse Math. 19 (2010) no. 3-4, p. 539-565 (con Aubin Arroyo)
• Sur les équations d'Halphen et les actions de SL₂(C). Publ. Math. Inst. Hautes Études Sci. 105 (2007), p. 221-294
• Semicompleteness of homogeneous quadratic vector fields. Ann. Inst. Fourier (Grenoble) 56 (2006) no. 5, p. 1583-1615 → Erratum
• The Painlevé property for quasihomogenous systems and a many-body problem in the plane. Comm. Math. Phys. 256 (2005) no. 1, p. 181-194
• Un théorème de point fixe pour les endomorphismes de l'espace projectif avec des applications aux feuilletages algébriques. Bull. Braz. Math. Soc. 35 (2004) no. 3, p. 345-362
• A further solvable three-body problem in the plane. J. Math. Phys. 44 (2003) no. 11 p. 5159-5165 (con F. Calogero y J.-P. Françoise)
• Sur les exemples de Lins Neto de feuilletages algébriques. C. R. Acad. Sci. Paris, Ser I 334 (2002), p. 747-750

página actualizada el 16 de mayo de 2023