Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem

Ariyan Javanpeykar; Daniel Loughran

doi:10.1112/jlms.12394

Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem

Ariyan Javanpeykar, Daniel Loughran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

10 Citations (SciVal)

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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.

Original language	English
Pages (from-to)	846-869
Number of pages	24
Journal	Journal of the London Mathematical Society
Volume	103
Issue number	3
Early online date	20 Oct 2020
DOIs	https://doi.org/10.1112/jlms.12394
Publication status	Published - 3 Apr 2021

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10.1112/jlms.12394Licence: CC BY

Quantitative arithmetic geometry
Loughran, D. (PI)
Engineering and Physical Sciences Research Council
1/04/19 → 30/09/21
Project: Research council

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AB - 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.

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Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem

Abstract

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Quantitative arithmetic geometry

Cite this