A categorical invariant for cubic threefolds

作者：Bernardara Marcello; Macri Emanuele; Mehrotra Sukhendu; Stellari Paolo^*

来源：Advances in Mathematics, 2012, 229(2): 770-803.

DOI：10.1016/j.aim.2011.10.007

• Derived categories
• Cubic threefolds

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.

• 出版日期2012-1-30