Mathematical Research Letters

Volume 25 (2018)

Number 2

Relative singular twisted Bondal–Orlov

Pages: 393 – 414

DOI: http://dx.doi.org/10.4310/MRL.2018.v25.n2.a3

Author

John Calabrese (Department of Mathematics, Rice University, Houston, Texas, U.S.A.)

Abstract

A theorem of Bondal and Orlov states that a smooth projective variety with ample or anti-ample canonical bundle can be reconstructed from its derived category. Here we extend the original result in three directions: we allow Gorenstein singularities, we consider derived categories of twisted sheaves and work relatively over a base stack.

Full Text (PDF format)

A huge thanks goes to Michael Groechenig: the present work work grew out of our collaboration, in addition to uncountably many conversations regarding the results contained here. I also thank Ben Antieau for carefully reading a draft of this paper and for providing many useful comments and suggestions. A final thanks goes to an anonymous referee for providing helpful comments and corrections.

Received 5 December 2016

Published 5 July 2018