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Traces of semi-invariants

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arxiv 2312.00983 v1 pith:WELMK7BQ submitted 2023-12-02 math.AC

Ela Celikbas , Jürgen Herzog , Shinya Kumashiro This is my paper · ORCID
classification math.AC
keywords invariantsringssemi-invariantstracescriteriaformulagorensteinadditionally
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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.

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Cited by 1 Pith paper

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  1. The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum

    math.AC 2024-12 conditional novelty 6.0 of 10

    Nearly Gorenstein Stanley-Reisner rings of dimension at least three are Gorenstein, and canonical traces of punctured-Gorenstein Stanley-Reisner rings are exactly the ring, the maximal ideal, or its square.

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