Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations

Abstract

We study how to use a suitably ample locally free sheaf over a proper Deligne-Mumford stack to furnish an embedding of the stack into a geometric invariant theory (GIT) quotient stack constructed from a finite-dimensional linear representation of the general linear group.

References in corpus (3)

• Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks
• Stable varieties with a twist
• On the Burnside-Brauer-Steinberg theorem