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20 April 2024

» arxiv » 1510.7401

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Divisors on Hurwitz spaces: an appendix to 'The cycle classes of divisorial Maroni loci'
Gerard van der Geer ; Alexis Kouvidakis ;
Date:	26 Oct 2015
Abstract:	The Maroni stratification on the Hurwitz space of degree $d$ covers of genus $g$ has a stratum that is a divisor only if $d-1$ divides $g$. Here we construct a stratification on the Hurwitz space that is analogous to the Maroni stratification, but has a divisor for all pairs $(d,g)$ with $d leq g$ with a few exceptions and we calculate the divisor class of an extension of these divisors to the compactified Hurwitz space.
Source:	arXiv, 1510.7401
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