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A categorical invariant for cubic threefolds
Authors:Marcello Bernardara  Emanuele Macrì  Sukhendu Mehrotra  Paolo Stellari
Institution:1. Mathematical Institute, University of Bonn, Endenicher Allee 60, D-53115 Bonn, Germany;2. Univeristät Duisburg–Essen, Fakultät für Mathematik, Universitätstr. 2, 45117 Essen, Germany;3. Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT 84112, USA;4. Department of Mathematics, University of Wisconsin–Madison, 480 Lincoln Drive, Madison, WI 53706-1388, USA;5. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133 Milano, Italy
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.
Keywords:Derived categories  Cubic threefolds
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