Complete intersections and derived categories

Details Complete intersections and derived categories Complete intersections and derived categories

2009-06-22

arxiv.org/abs/0906.4025v1

Mathematics

Commutative Algebra

Scientific paper

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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