On the derived category of a graded commutative noetherian ring

Details On the derived category of a graded commutative noetherian ring On the derived category of a graded commutative noetherian ring

2011-07-24

arxiv.org/abs/1107.4764v2

Mathematics

Category Theory

19 pages; minor corrections, added a few details

Scientific paper

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.

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