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A categorical invariant for cubic threefolds

Marcello Bernardara, Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari

Number 11
Authors Emanuele Macrì
Marcello Bernardara
Projects C01
C03
Year 2009

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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