Adolfo Guillot

Explicit integration, birational models and symmetries of Lins Neto's exceptional families of foliations

prepublicación arXiv:2608.21954 sometido a publicación

con Luís Gustavo Mendes, Wodson Mendson y Liliana Puchuri

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 connections 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

Quasihomogeneous 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 (PDF)

The Painlevé property for quasihomogeneous 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

On the singularities of complete holomorphic vector fields in dimension two

en Handbook of Geometry and Topology of Singularities VI: Foliations. Springer, Cham, 2024

Versión preliminar (PDF)

Complex differential equations and geometric structures on curves

en Geometrical Themes Inspired by the N-body Problem. Lecture Notes in Math. 2204, Springer, Cham, 2018

Notas del minicurso impartido en el Seventh Minimeeting in Differential Geometry, CIMAT, Guanajuato, México, 2015