Divisors on Hurwitz spaces: an appendix to 'The cycle classes of divisorial Maroni loci'

preprint2015arXivOpen access

Abstract

The Maroni stratification on the Hurwitz space of degree dd covers of genus gg has a stratum that is a divisor only if d−1d-1 divides gg. 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)(d,g) with d≤gd \leq g with a few exceptions and we calculate the divisor class of an extension of these divisors to the compactified Hurwitz space.

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