7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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5 papers · 2 filters
On the existence of logarithmic and orbifold jet differentials
Frédéric Campana, Lionel Darondeau, Jean-Pierre Demailly +1
We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebraic or analytic variety (X, V), and a ramification divisor D, where V is a cohere…
Picard hyperbolicity of manifolds admitting nilpotent harmonic bundles
Benoît Cadorel, Ya Deng
For a quasi-compact Kähler manifold endowed with a nilpotent harmonic bundle whose Higgs field is injective at one point, we prove that is pseudo-algebraically hyperbolic,…
Boucksom-Zariski and Weyl chambers on irreducible holomorphic symplectic manifolds
Francesco Antonio Denisi
Inspired by the work of Bauer, Küronya, and Szemberg, we provide for the big cone of a projective irreducible holomorphic symplectic (IHS) manifold a decomposition into chambers (w…
Why (a,b)-modules, frescos and themes ?
Daniel Barlet
This text is an advocacy for the use of (a,b)-modules (formal Brieskorn modules) in the study of the singularity of a holomorphic function on a complex manifold. It gives a short a…
Algebraic differential equations of periods integrals
Daniel Barlet
We explain that in the study of the asymptotic expansion at the origin of a period integral like z /df or of a hermitian period like f =s ./df /df the compu…