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arXiv · 2205.07064

Gorenstein Endomorphism Rings on Curve Singularities

Philipp Korell
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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.

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Philipp Korell. 2023-04-25. Gorenstein Endomorphism Rings on Curve Singularities. https://arxiv.org/abs/2205.07064

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