Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-8816
Authors: | Javanpeykar, Ariyan Loughran, Daniel Mathur, Siddharth |
Title: | Good reduction and cyclic covers |
Online publication date: | 27-Apr-2023 |
Year of first publication: | 2022 |
Language: | english |
Abstract: | We prove finiteness results for sets of varieties over number fields with good reduction outside a given finite set of places using cyclic covers. We obtain a version of the Shafarevich conjecture for weighted projective surfaces, double covers of abelian varieties and reduce the Shafarevich conjecture for hypersurfaces to the case of hypersurfaces of high dimension. These are special cases of a general setup for integral points on moduli stacks of cyclic covers, and our arithmetic results are achieved via a version of the Chevalley–Weil theorem for stacks. |
DDC: | 510 Mathematik 510 Mathematics |
Institution: | Johannes Gutenberg-Universität Mainz |
Department: | FB 08 Physik, Mathematik u. Informatik |
Place: | Mainz |
ROR: | https://ror.org/023b0x485 |
DOI: | http://doi.org/10.25358/openscience-8816 |
Version: | Published version |
Publication type: | Zeitschriftenaufsatz |
Document type specification: | Scientific article |
License: | CC BY |
Information on rights of use: | https://creativecommons.org/licenses/by/4.0/ |
Journal: | Journal of the Institute of Mathematics of Jussieu Version of Record (VoR) |
Pages or article number: | 1 32 |
Publisher: | Cambridge University Press |
Publisher place: | Cambridge |
Issue date: | 2022 |
ISSN: | 1475-3030 |
Publisher DOI: | 10.1017/S1474748022000457 |
Appears in collections: | DFG-491381577-H |
Files in This Item:
File | Description | Size | Format | ||
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good_reduction_and_cyclic_cov-20230217154408522.pdf | 580.48 kB | Adobe PDF | View/Open |