Finiteness theorems for complements of large divisors
Algebraic Geometry
2022-07-13 v2 Number Theory
Abstract
We prove finiteness results on integral points on complements of large divisors in projective varieties over finitely generated fields of characteristic zero. To do so, we prove a function field analogue of arithmetic finiteness results of Corvaja-Zannier and Levin using Wang's function field Subspace Theorem. We then use a method of Evertse-Gy\H{o}ry for concluding finiteness of integral points over finitely generated fields from known finiteness results over number fields.
Cite
@article{arxiv.2203.11126,
title = {Finiteness theorems for complements of large divisors},
author = {Philipp Licht},
journal= {arXiv preprint arXiv:2203.11126},
year = {2022}
}