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.
A categorical invariant for cubic threefolds / M. Bernardara, E. Macrì, S. Mehrotra, P. Stellari. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 229:2(2012 Jan 30), pp. 770-803. [10.1016/j.aim.2011.10.007]
A categorical invariant for cubic threefolds
P. StellariUltimo
2012
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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