Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem
Algebraic Geometry
2020-10-13 v2 Number Theory
Abstract
We prove an analogue for algebraic stacks of Hermite-Minkowski's finiteness theorem from algebraic number theory, and establish a Chevalley-Weil type theorem for integral points on stacks. As an application of our results, we prove analogues of the Shafarevich conjecture for some surfaces of general type.
Cite
@article{arxiv.1808.09876,
title = {Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem},
author = {Ariyan Javanpeykar and Daniel Loughran},
journal= {arXiv preprint arXiv:1808.09876},
year = {2020}
}
Comments
28 pages. Minor revisions and improvements