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arXiv · 2111.01068

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

Mitchell Faulk·Chiu-Chu Melissa Liu
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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.

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Mitchell Faulk, Chiu-Chu Melissa Liu. 2021-11-01. Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations. https://arxiv.org/abs/2111.01068

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