Stratifying quotient stacks and moduli stacks
Algebraic Geometry
2017-11-29 v1
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.
Cite
@article{arxiv.1711.10215,
title = {Stratifying quotient stacks and moduli stacks},
author = {Gergely Bérczi and Victoria Hoskins and Frances Kirwan},
journal= {arXiv preprint arXiv:1711.10215},
year = {2017}
}
Comments
25 pages, submitted to the Proceedings of the Abel Symposium 2017