Arithmetic finiteness of very irregular varieties

Author:

Thomas Krämer, Marco Maculan

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Number Theory (math.NT)

journal:

date:

2023-10-11 16:00:00

Abstract

We prove the Shafarevich conjecture for very irregular varieties of dimension less than half the dimension of their Albanese variety, subject to some mild numerical conditions. Our proof relies on the Lawrence-Venkatesh method as in the work of Lawrence-Sawin, together with the big monodromy criterion from our work with Javanpeykar and Lehn.

PDF: Arithmetic finiteness of very irregular varieties.pdf