Ax-Schanuel with derivatives for mixed period mappings

Abstract

We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for principal bundles with flat connections obtained by Blázquez-Sanz, Casale, Freitag, and Nagloo.

References in corpus (6)

• Ax-Schanuel for the j-function
• The Shafarevich conjecture for hypersurfaces in abelian varieties
• Functional transcendence for the unipotent Albanese map
• A closure operator respecting the modular $j$-function
• Effective transcendental Zilber-Pink for variations of Hodge structures
• Algebraic Varieties and Automorphic Functions