English

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

Algebraic Geometry 2021-11-02 v1

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.

Keywords

Cite

@article{arxiv.2111.01068,
  title  = {Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations},
  author = {Mitchell Faulk and Chiu-Chu Melissa Liu},
  journal= {arXiv preprint arXiv:2111.01068},
  year   = {2021}
}