A GIT Construction of Moduli Spaces of Stable Maps in Positive Characteristic

Abstract

In a previous paper, the author and David Swinarski constructed the moduli spaces of stable maps, \bar M_g,n(P^r,d), via geometric invariant theory (GIT). That paper required the base field to be the complex numbers, a restriction which this paper removes: here the coarse moduli spaces of stable maps are constructed via GIT over a more general base.

20 pages; the main theorem is now proved over a more general base

Cited by in corpus (2)

• A geometric invariant theory construction of moduli spaces of stable maps
• GIT Constructions of Moduli Spaces of Stable Curves and Maps