On the derived category of a graded commutative noetherian ring

Abstract

For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijection between, on the one hand, the twist-closed localizing subcategories of the derived category, and, on the other hand, subsets of the homogeneous spectrum of prime ideals of the ring. We provide an application to weighted projective schemes.

19 pages; minor corrections, added a few details

References in corpus (2)

• Stratifying triangulated categories
• Tensor triangular geometry and KK-theory

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• From Ohkawa to strong generation via approximable triangulated categories -- a variation on the theme of Amnon Neeman's Nagoya lecture series
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