36 citations · 71 across the 15 of their papers we have counts for
18 papers
Abelian differentials and their periods: the bi-algebraic point of view
Bruno Klingler, Leonardo A. Lerer
We study the transcendence of periods of abelian differentials, both at the arithmetic and functional level, from the point of view of the natural bi-algebraic structure on strata…
Hodge theory, between algebraicity and transcendence
Bruno Klingler
The Hodge theory of complex algebraic varieties is at heart a transcendental comparison of two algebraic structures. We survey the recent advances bounding this transcendence, main…
On the Geometric Zilber-Pink Theorem and the Lawrence-Venkatesh method
Gregorio Baldi, Bruno Klingler, Emmanuel Ullmo
Using our recent results on the algebraicity of the Hodge locus for variations of Hodge structures of level at least , we improve the results of Lawrence-Venkatesh in direction…
On the distribution of the Hodge locus
Gregorio Baldi, Bruno Klingler, Emmanuel Ullmo
Given a polarizable -variation of Hodge structures over a complex smooth quasi-projective base , a classical result of Cattani, Deligne and Kaplan says…
The Ax-Schanuel conjecture for variations of mixed Hodge structures
Ziyang Gao, Bruno Klingler
We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures.
On the fields of definition of Hodge loci
Bruno Klingler, Anna Otwinowska, David Urbanik
A polarizable variation of Hodge structure over a smooth complex quasi projective variety is said to be defined over a number field if and the algebraic connection asso…