Tame torsion and the tame inverse Galois problem

Matthew Bisatt*, Tim Dokchitser

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

Fix a positive integer g and a squarefree integer m. We prove the existence of a genus g curve C/Q such that the mod m representation of its Jacobian is tame. The method is to analyse the period matrices of hyperelliptic Mumford curves, which could be of independent interest. As an application, we study the tame version of the inverse Galois problem for symplectic matrix groups over finite fields.
Original languageEnglish
Pages (from-to)1439-1453
Number of pages15
JournalMathematische Annalen
Volume381
Early online date27 Apr 2021
DOIs
Publication statusPublished - 1 Dec 2021

Bibliographical note

Publisher Copyright:
© The Author(s) 2021.

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