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Omnipersistent signatures

Omnipersistent signatures
Omnipersistent signatures
In this note, we lay the groundwork for a new approach to the problem of group-signature classification of actions on closed Riemann surfaces. This new approach first focuses on analyzing the low level arithmetic conditions before invoking the more complicated group theory. We provide the complete first step in this approach by giving the complete list of signatures which arithmetically could appear as a signature in every possible genus, and the subset of those which do appear as the signature of a group action in every possible genus.
Riemann surface, signature, automorphism group
Anderson, James
739c0e33-ef61-4502-a675-575d08ee1a98
Wootton, Aaron
46e76a19-aae5-4f6f-a353-211d66009015
Anderson, James
739c0e33-ef61-4502-a675-575d08ee1a98
Wootton, Aaron
46e76a19-aae5-4f6f-a353-211d66009015

Anderson, James and Wootton, Aaron (2018) Omnipersistent signatures. arXiv. (In Press)

Record type: Article

Abstract

In this note, we lay the groundwork for a new approach to the problem of group-signature classification of actions on closed Riemann surfaces. This new approach first focuses on analyzing the low level arithmetic conditions before invoking the more complicated group theory. We provide the complete first step in this approach by giving the complete list of signatures which arithmetically could appear as a signature in every possible genus, and the subset of those which do appear as the signature of a group action in every possible genus.

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1810.01148 - Accepted Manuscript
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More information

Submitted date: 23 July 2018
Accepted/In Press date: 2 October 2018
Keywords: Riemann surface, signature, automorphism group

Identifiers

Local EPrints ID: 423865
URI: http://eprints.soton.ac.uk/id/eprint/423865
PURE UUID: 8ff8b3c7-b85f-465a-a8c8-bbd7135a65ee
ORCID for James Anderson: ORCID iD orcid.org/0000-0002-7849-144X

Catalogue record

Date deposited: 03 Oct 2018 16:30
Last modified: 08 Jan 2020 17:32

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Contributors

Author: James Anderson ORCID iD
Author: Aaron Wootton

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