Moscow Mathematical Journal

Volume 16, Issue 4, October–December 2016 pp. 767–774.

Divisors on Hurwitz Spaces: An Appendix to `The Cycle Classes of Divisorial Maroni Loci'

Authors: Gerard van der Geer (1) and Alexis Kouvidakis (2)
Author institution:(1) Korteweg-de Vries Instituut, Universiteit van Amsterdam, Postbus 94248, 1090 GE Amsterdam, The Netherlands
(2) Department of Mathematics and Applied Mathematics, University of Crete, GR-70013 Heraklion, Greece

Summary:

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≤g with a few exceptions and we calculate the divisor class of an extension of these divisors to the compactified Hurwitz space.

2010 Math. Subj. Class. 14H10, 14H51.

Keywords: Hurwitz space, Maroni locus, scrollar invariant.

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