7.7k citations
- Centre National de la Recherche ScientifiqueFR1.2k papers
- Institut Élie Cartan de LorraineFR874 papers
- Institut Jean LamourFR378 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR277 papers
- Institut national de recherche en sciences et technologies du numériqueFR174 papers
- Laboratoire de Physique et Chimie ThéoriquesFR148 papers
- Université Paris-SaclayFR115 papers
- CRANFR110 papers
- Sorbonne UniversitéFR85 papers
- Institut Universitaire de FranceFR61 papers
- Université de StrasbourgFR56 papers
- Laboratoire Énergies & Mécanique Théorique et AppliquéeFR54 papers
89 papers · 1 filter
Hyperbolicity and fundamental groups of complex quasi-projective varieties (I): Maximal quasi-Albanese dimension by Nevanlinna theory
Benoit Cadorel, Ya Deng, Katsutoshi Yamanoi
This is the first part of a series of three papers. In this paper, we establish a Big Picard type theorem for holomorphic maps , where is a ramified covering of the…
More birational involutions
Pietro Beri, Laurent Manivel
For a very general polarized K3 surface of degree , we describe in geometrical terms a birational involution of the Hilbert scheme of points on the surface,…
Generalized Brieskorn Modules II: Higher Bernstein Polynomials and Multiple Poles
Daniel Barlet
Our main result is to show that the existence of a root in. ----Nfor the p-th Bernstein polynomial of the (a,b)-module generated by a holomorphicform in the (convergent) Briesko…
Deformation Openness of Big Fundamental Groups and Applications
Ya Deng, Chikako Mese, Botong Wang
In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…
Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds
Clara Derand
We obtain a Second Main Theorem type inequality for holomorphic maps , where is a parabolic manifold and is smooth projective with dim dim . We al…
On Symmetric and Anti-symmetric Partial Differential Operators
Daniel Barlet
We study the action of symmetric PDO on the module of anti-symmetric functions in . We show that over the Weyl algebra of the elementary symmetric functions, this…