Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.556860
Title: Genus zero systems for primitive groups of affine type
Author: Wang, Gehao
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2012
Availability of Full Text:
Access from EThOS:
Access from Institution:
Abstract:
Let M\(_g\) be the moduli space of genus g curves. A Hurwitz locus in M\(_g\) is a locus of points representing G-covers of fixed genus g with a given ramification type. The classification of Hurwitz loci of complex curves admitting G is by the computation of orbits of a suitable surface braid group acting on the generating tuples of G. When the genus of the curve is low, the braid orbits can be enumerated explicitly using GAP (Groups, Algorithm, Programming) computer algebra system and the BRAID package by Magaard, Shpectorov and Volklein. However, the length of the orbits dramatically increases with the size of G and genus of the curve. In order to handle larger orbits, we propose to break up the tuples into two or more shorter pieces which can be computed within reasonable time, and then recombine them together as direct products to form the braid orbits.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.556860  DOI: Not available
Keywords: QA Mathematics ; QA75 Electronic computers. Computer science
Share: