December 8, 2021
Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations-Room SC1312
Ordinary Kodaira embedding uses an ample invertible sheaf to embed a proper variety into a projective space. We obtain an extension to stacks with finite stabilizer groups: we are able 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. This is joint work with Melissa Liu.