Stratifying quotient stacks and moduli stacks

Author: 

Berczi, G
Hoskins, V
Kirwan, F

Publication Date: 

24 November 2018

Journal: 

Abelsymposium 2017: Geometry of Moduli

Last Updated: 

2021-03-23T08:22:22.95+00:00

Volume: 

14

DOI: 

10.1007/978-3-319-94881-2_1

page: 

1-33

abstract: 

Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X∕H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S∕H] has a geometric quotient S∕H. This leads to stratifications of moduli stacks (for example, sheaves over a projective scheme) such that each stratum has a coarse moduli space.

Symplectic id: 

826669

Submitted to ORA: 

Submitted

Publication Type: 

Conference Paper

ISBN-13: 

9783319948812