Traces of semi-invariants
Commutative Algebra
2023-12-05 v1
Abstract
This article investigates the traces of certain modules over rings of invariants associated with finite groups. More precisely, we provide a formula for computing the traces of arbitrary semi-invariants, thereby contributing to the understanding of the non-Gorenstein locus of rings of invariants. Additionally, we discuss applications of this formula, including criteria for rings of invariants to be Gorenstein on the punctured spectrum and nearly Gorenstein, as well as criteria for semi-invariants to be locally free.
Keywords
Cite
@article{arxiv.2312.00983,
title = {Traces of semi-invariants},
author = {Ela Celikbas and Jürgen Herzog and Shinya Kumashiro},
journal= {arXiv preprint arXiv:2312.00983},
year = {2023}
}
Comments
10 pages. Comments are welcome!