A categorical invariant for cubic threefolds

  title={A categorical invariant for cubic threefolds},
  author={Marcello Bernardara and Emanuele Macr{\`i} and Sukhendu Mehrotra and Paolo Stellari},
  journal={arXiv: Algebraic Geometry},
  • Marcello Bernardara, Emanuele Macrì, +1 author Paolo Stellari
  • Published 2009
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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.