On a compactification of a Hurwitz space in the wild case

Mathematics – Algebraic Geometry

Scientific paper

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30 pages

Scientific paper

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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