Corpus ID: 210718789

Derived categories and birationality

  title={Derived categories and birationality},
  author={Max Lieblich and Martin Olsson},
  • Max Lieblich, Martin Olsson
  • Published 2020
  • Mathematics
  • We discuss the question of finding conditions on a derived equivalence between two smooth projective varieties $X$ and $Y$ that imply that $X$ and $Y$ are birational. The types of conditions we consider are in the spirit of finding categorical analogous of classical Torelli theorems. We study, in particular, a notion of strongly filtered derived equivalence and study cases where strongly filtered derived equivalence implies birationality. We also consider an open variant of our main question. 

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