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arxiv: 0903.4414 · v2 · pith:VZKZL7RRnew · submitted 2009-03-25 · 🧮 math.AG

A categorical invariant for cubic threefolds

classification 🧮 math.AG
keywords cubiccategoricalthreefoldscategorycharacterizesclassdecompositionderived
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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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