Moduli spaces of hyperelliptic curves with A and D singularities

Abstract

We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. The stability conditions for these moduli spaces depend on two parameters describing allowable singularities. By varying these parameters, we interpolate between the stacks of stable limits of A and D singularities and the quotients of the versal deformation spaces of A and D singularities by a natural ${\mathbb{G}}_m$ action.

Section 7 expanded. Typos and minor errors fixed. 35 pages, 2 TikZ figures

References in corpus (2)

• Log minimal model program for the moduli space of stable curves: The first flip
• Linear sections of the Severi variety and moduli of curves

Cited by in corpus (1)

• Alternate Compactifications of Moduli Spaces of Curves