On Lang's conjecture for some product-quotient surfaces

Julien Grivaux (1, 2) , Juliana Restrepo Velasquez (2) , Erwan Rousseau (3, 2)

1 IHES - Institut des Hautes Études Scientifiques
2 I2M - Institut de Mathématiques de Marseille
3 IUF - Institut universitaire de France

We prove effective versions of algebraic and analytic Lang's conjectures for product-quotient surfaces of general type with P_g = 0 and c_1^2 = c_2.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Julien Grivaux, Juliana Restrepo Velasquez, Erwan Rousseau. On Lang's conjecture for some product-quotient surfaces. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2018. ⟨hal-01388405⟩