Chow classes of divisors on stacks of pointed hyperelliptic curves

Abstract

We calculate the classes of the universal hyperelliptic Weierstrass divisor ${\bar{\mathcal{H}}}_{g,w}$ and the universal $g_2^1$ divisor ${\bar{\mathcal{H}}}_{g,g_2^1}$. Our results are expressed in terms of a basis for $Cl({\bar{\mathcal{H}}}_{g,1})$ and $Cl({\bar{\mathcal{H}}}_{g,2})$ computed by Scavia.

21 pages. To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,

References in corpus (2)

• The Kodaira classification of the moduli of hyperelliptic curves
• The integral Chow rings of the stacks of hyperelliptic Weierstrass points