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arXiv · 1807.07018

Monomial Gorenstein algebras and the stably Calabi--Yau property

Ana Garcia Elsener
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Abstract

A celebrated result by Keller--Reiten says that $2$-Calabi--Yau tilted algebras are Gorenstein and stably $3$-Calabi--Yau. This note shows that the converse holds in the monomial case: a $1$-Gorenstein monomial algebra with a $3$-Calabi--Yau singularity category is $2$-Calabi--Yau tilted. We study the case of other Goresntein monomial algebras with stably Calabi--Yau singularity categories.

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BibTeXRIS

Ana Garcia Elsener. 2020-06-06. Monomial Gorenstein algebras and the stably Calabi--Yau property. https://arxiv.org/abs/1807.07018

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