Contacto

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Publicaciones

Artículo Panorámico

• On the Singularities of Complete Holomorphic Vector Fields in Dimension Two
  Handbook of Geometry and Topology of Singularities VI: Foliations. Springer, Cham, 2024
  → Versión preliminar

Artículos de Investigación

• Birational geometry of special quotient foliations and Chazy's equations
  Bull. Sci. Math. 209 (2026), art. no. 103792 (48 p.)
  con Luís Gustavo Mendes


• Uniformizable foliated projective structures along singular foliations
  Math. Z. 311 (2025), art. no. 85 (24 p.)
  con Bertrand Deroin


• On Bureau's classification of quadratic differential equations in two variables free of movable critical points
  Stud. Appl. Math. 155 (2025) no. 2, art. no. e70083 (21 p.)


• 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


• Meromorphic vector fields with single-valued solutions on complex surfaces
  Adv. Math. 354 (2019), art. no. 106742 (41 p.)


• Quadratic differential equations in three variables without multivalued solutions: part I
  SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), 122 (46 p.)


• Further Riccati equations with elliptic coefficients and meromorphic solutions
  J. Nonlinear Math. Phys., 25 (2018) no. 3, p. 497-508


• 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 Gabriel Calsamiglia, Bertrand Deroin y Sidney 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 Francesco Calogero y Jean Pierre Françoise


• Sur les exemples de Lins Neto de feuilletages algébriques
  C. R. Acad. Sci. Paris, Ser I 334 (2002), p. 747-750

Otros

• Complex differential equations and geometric structures on curves
  en Geometrical Themes Inspired by the N-body Problem. Lecture Notes in Math. 2204, Springer, 2018
  (notas del minicurso impartido en el Seventh Minimeeting in Differential Geometry en CIMAT en 2015)

página actualizada el 28 de julio de 2026