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1 I2M - Institut de Mathématiques de Marseille 2 IRMAR - Institut de Recherche Mathématique de Rennes

Abstract : We study curves in Hilbert modular varieties from the point of view of the Green-Griffiths-Lang conjecture claiming that entire curves in complex projective varieties of general type should be contained in a proper subvariety. In the first part, using holomorphic foliations theory, we establish the Second Main Theorem in this context as well as a function field analogue of Vojta-s conjecture. In the second part, with a metric approach, we establish the strong Green-Griffiths-Lang conjecture for Hilbert modular varieties up to finitely many possible exceptions.





Autor: Erwan Rousseau - Frédéric Touzet -

Fuente: https://hal.archives-ouvertes.fr/



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