Mathematics – Algebraic Geometry
Scientific paper
2005-09-06
Mathematics
Algebraic Geometry
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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