A categorical invariant for cubic threefolds

Details A categorical invariant for cubic threefolds A categorical invariant for cubic threefolds

2009-03-25

arxiv.org/abs/0903.4414v2

Mathematics

Algebraic Geometry

30 pages. Minor changes. Final version to appear in Adv. Math

Scientific paper

We prove a categorical version of the Torelli theorem for cubic threefolds.
More precisely, we show that the non-trivial part of a semi-orthogonal
decomposition of the derived category of a cubic threefold characterizes its
isomorphism class.

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