The lift invariant distinguishes components of Hurwitz spaces for A5

Research output: Contribution to journalArticle

Authors

Colleges, School and Institutes

Abstract

Hurwitz spaces are moduli spaces of curve covers. The isomorphism classes of P 1C covers of with given ramification data are parameterized combinatorially by Nielsen tuples in the monodromy group G. The Artin braid group acts on Nielsen tuples, and the orbits of this action correspond to the connected components of the corresponding Hurwitz space. In this article we consider the case G = A5. We give a complete classification of the braid orbits for all ramification types, showing that the components are always distinguishable by the Fried-Serre lift invariant.

Details

Original languageEnglish
Pages (from-to)1377-1390
Number of pages14
JournalProceedings of the American Mathematical Society
Volume143
Early online date3 Dec 2014
Publication statusPublished - 2015