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arXiv · 1709.07929

Singular equivalences of commutative noetherian rings and reconstruction of singular loci

Hiroki Matsui
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Abstract

Two left noetherian rings $R$ and $S$ are said to be {\it singularly equivalent} if their singularity categories are equivalent as triangulated categories. The aim of this paper is to give a necessary condition for two commutative noetherian rings to be singularly equivalent. To do this, we develop the support theory for triangulated categories without tensor structure.

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Hiroki Matsui. 2017-09-22. Singular equivalences of commutative noetherian rings and reconstruction of singular loci. https://arxiv.org/abs/1709.07929

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