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
Arakelov-Nevanlinna inequalities for variations of Hodge structures and applications
Damian Brotbek, Yohan Brunebarbe
We prove a Second Main Theorem type inequality for any log-smooth projective pair such that supports a complex polarized variation of Hodge structures. This…
A functorial approach to differential calculus
Wolfgang Bertram, Jérémy Haut
We show that differential calculus (in its usual form, or in the general form of topological differential calculus) can be fully imdedded into a functor category (functors from a s…
The Bogomolov-Beauville-Yau Decomposition for Klt Projective Varieties with Trivial First Chern Class -Without Tears-
Frederic Campana
We give a simplified proof (in characteristic zero) of the decomposition theorem for complex projective varieties with klt singularities and numerically trivial canonical bundle. T…
New singularity invariants : the sheaf
Daniel Barlet
The graded coherent sheaf constructed in [B.18] for any reduced pure dimensional complex space is stable by exterior product but not by the de Rham differential.…
Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures
Ya Deng
In this paper, we study various hyperbolicity properties for a quasi-compact Kähler manifold which admits a complex polarized variation of Hodge structures so that each fiber o…