Clusters, inertia, and root numbers
Number Theory
2021-03-15 v3
Abstract
In a recent paper of Dokchitser--Dokchitser--Maistret--Morgan, the authors introduced the concept of a cluster picture associated to a hyperelliptic curve from which they are able to recover numerous invariants, including the inertia representation on the first \'{e}tale cohomology group of the curve. The purpose of this paper is to explore the functionality of these cluster pictures and prove that the inertia representation of a hyperelliptic curve is a function of its cluster picture.
Keywords
Cite
@article{arxiv.1902.08981,
title = {Clusters, inertia, and root numbers},
author = {Matthew Bisatt},
journal= {arXiv preprint arXiv:1902.08981},
year = {2021}
}
Comments
Minor corrections