Gorenstein Endomorphism Rings on Curve Singularities
Commutative Algebra
2023-04-26 v2
Abstract
We characterize the Gorensteinness of endomorphism rings of a fractional ideal on a curve singularity by stability of the ideal and a condition on its value semigroup ideal. Moreover, the Gorenstein algebroid curves with only Gorenstein integral extensions are classified.
Cite
@article{arxiv.2205.07064,
title = {Gorenstein Endomorphism Rings on Curve Singularities},
author = {Philipp Korell},
journal= {arXiv preprint arXiv:2205.07064},
year = {2023}
}