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

2015/10/26 by van der Geer, Gerard, Kouvidakis, Alexis
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.07401

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

Related

• The cycle classes of divisorial Maroni loci
• Special codimension one loci in Hurwitz spaces
• The class of a Hurwitz divisor on the moduli of curves of even genus
• Effective divisors on Hurwitz spaces
• A Hurwitz divisor on the Moduli of Prym curves