Nearly Gorenstein projective monomial curves of small codimension

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arxiv 2302.04027 v3 pith:FPOSB6FW submitted 2023-02-08 math.AC

Sora Miyashita This is my paper · ORCID

classification math.AC

keywords codimensioncurvesgorensteinmonomialnearlyprojectivecharacterizesmall

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In this paper, we characterize nearly Gorenstein projective monomial curves of codimension 2 and 3.

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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.