Products of hyperelliptic Jacobians with maximal Galois image
Number Theory
2023-05-22 v2 Algebraic Geometry
Abstract
In this note we study the associated adelic representation of a product of hyperelliptic Jacobians. We give a simple criterion that assures that this representation has maximal Galois image in a certain sense. As an application, we provide a method of constructing products of Jacobians with division fields as disjoint as they can be.
Keywords
Cite
@article{arxiv.2207.01951,
title = {Products of hyperelliptic Jacobians with maximal Galois image},
author = {Jędrzej Garnek},
journal= {arXiv preprint arXiv:2207.01951},
year = {2023}
}
Comments
16 pages. Corrected a mistake from an earlier version