A categorical invariant for cubic threefolds

2009/03/25 by Bernardara, Marcello, Macri, Emanuele, Mehrotra, Sukhendu +1 · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0903.4414

Abstract

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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