On a compactification of a Hurwitz space in the wild case

2005/09/06 by Sylvain Maugeais, Maugeais, Sylvain
Mathematics · #14E22 #14H10 #14H30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14E22 #msc:14H10 #msc:14H30

paper · pdf · doi:10.48550/arxiv.math/0509118

30 pages

arxiv created 2005/09/06 · arxiv updated 2009/12/01

Abstract

Let g and g' be two integers and p a prime number. Denote by \mathscr H_{g, g', p}^c the moduli space of morphisms of degree p between smooth curves of genus g and g' and with constant ramification. The purpose of this article is to construct and describe a modular compactification of this space.

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• Towards a classification of modular compactifications of the moduli space of curves
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