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arXiv · 0906.4025

Complete intersections and derived categories

D. J. Benson·J. P. C. Greenlees
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Abstract

We propose a definition of when a triangulated category should be considered a complete intersection. We show (using work of Avramov and Gulliksen) that for the derived category of a complete local Noetherian commutative ring R, the condition on the derived category D(R) holds precisely when R is a complete intersection in the classical sense.

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D. J. Benson, J. P. C. Greenlees. 2009-06-22. Complete intersections and derived categories. https://arxiv.org/abs/0906.4025

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