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Title: Genus zero systems for primitive groups of affine type
Author: Wang, Gehao
ISNI:       0000 0004 2719 4829
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2012
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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:  DOI: Not available
Keywords: QA Mathematics ; QA75 Electronic computers. Computer science