Compactifications of hurwitz spaces

Anand Deopurkar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We construct several modular compactifications of the Hurwitz space of genus g curves expressed as d-sheeted, simply branched covers of genus h curves. These compactifications are obtained by allowing the branch points of the covers to collide to a variable extent. They are well behaved if d=2,3, or if relatively few collisions are allowed. We recover as special cases the spaces of twisted admissible covers of Abramovich, Corti, and Vistoli and the spaces of hyperelliptic curves of Fedorchuk.

Original languageEnglish
Pages (from-to)3863-3911
Number of pages49
JournalInternational Mathematics Research Notices
Volume2014
Issue number14
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

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