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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2016 Volume 16, Number 4, Pages 767–774 (Mi mmj621)

This article is cited in 1 paper

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

Gerard van der Geera, Alexis Kouvidakisb

a Korteweg-de Vries Instituut, Universiteit van Amsterdam, Postbus 94248, 1090 GE Amsterdam, The Netherlands
b Department of Mathematics and Applied Mathematics, University of Crete, GR-70013 Heraklion, Greece

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.

Key words and phrases: Hurwitz space, Maroni locus, scrollar invariant.

MSC: 14H10, 14H51

Received: January 14, 2016

Language: English

DOI: 10.17323/1609-4514-2016-16-4-767-774



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