Torus Actions on Quotients of Affine Spaces
Algebraic Geometry
2026-05-27 v3 Representation Theory
Abstract
We study the locus of fixed points of a torus action on a GIT quotient of a complex vector space by a reductive complex algebraic group which acts linearly. We show that, under the assumption that acts freely on the stable locus, the components of the fixed point locus are again GIT quotients of linear subspaces by Levi subgroups.
Keywords
Cite
@article{arxiv.2201.04879,
title = {Torus Actions on Quotients of Affine Spaces},
author = {Ana-Maria Brecan and Hans Franzen},
journal= {arXiv preprint arXiv:2201.04879},
year = {2026}
}
Comments
19 pages, comments are welcome; v2: Eliminated an assumption in the main result, expanded applications section; v3: Final version