A lower bound for the number of group actions on a compact riemann surface
A lower bound for the number of group actions on a compact riemann surface
We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus g (at least 2) is at least quadratic in g. We do this through the introduction of a coarse signature space, the space K_g of skeletal signatures of group actions on compact Riemann surfaces of genus g. We discuss the basic properties of K_g and present a full conjectural description.
19-35
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Wootton, Aaron
46e76a19-aae5-4f6f-a353-211d66009015
January 2012
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Wootton, Aaron
46e76a19-aae5-4f6f-a353-211d66009015
Anderson, James W. and Wootton, Aaron
(2012)
A lower bound for the number of group actions on a compact riemann surface.
Algebraic & Geometric Topology, 12 (1), .
(doi:10.2140/agt.2012.12.19).
Abstract
We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus g (at least 2) is at least quadratic in g. We do this through the introduction of a coarse signature space, the space K_g of skeletal signatures of group actions on compact Riemann surfaces of genus g. We discuss the basic properties of K_g and present a full conjectural description.
Text
lower_bound_170711.pdf
- Version of Record
More information
Submitted date: July 2011
Accepted/In Press date: October 2011
Published date: January 2012
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 196515
URI: http://eprints.soton.ac.uk/id/eprint/196515
ISSN: 1472-2747
PURE UUID: 4fdedc30-069d-484f-8b96-ed117ab80294
Catalogue record
Date deposited: 08 Sep 2011 09:27
Last modified: 09 Jan 2022 02:50
Export record
Altmetrics
Contributors
Author:
Aaron Wootton
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
