The Ax-Schanuel conjecture for variations of mixed Hodge structures

2021/01/26 by Gao, Ziyang, Klingler, Bruno · 3 citations
#11G10 #11G18 #14C30 #14G35 #14J10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2101.10938

Abstract

We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures.

Cited by

• Bialgebraic varieties of the Gamma function
• The Carlitz module and a differential Ax-Lindemann-Weierstrass theorem for the Euler gamma function
• Unlikely intersections in Shimura varieties and beyond: a survey

Related

• The Ax-Schanuel conjecture for variations of Hodge structures
• Ax-Schanuel for variations of mixed Hodge structures
• Mixed Hodge structures associated to geometric variations
• Mixed Ax-Schanuel for the universal abelian varieties and some applications
• Hodge loci and atypical intersections: conjectures