Mathematical Research Letters

Volume 28 (2021)

Number 1

Fourier–Mukai partners of Enriques and bielliptic surfaces in positive characteristic

Pages: 65 – 91



Katrina Honigs (Department of Mathematics, University of Oregon, Eugene, Or., U.S.A.)

Max Lieblich (Department of Mathematics, University of Washington, Seattle, Wa., U.S.A.)

Sofia Tirabassi (Department of Mathematics, University of Bergen, Norway; and Department of Mathematics, Stockholm University, Stockholm, Sweden)


We prove that a twisted Enriques (respectively, untwisted bielliptic) surface over an algebraically closed field of positive characteristic at least $3$ (respectively, at least $5$) has no non-trivial Fourier–Mukai partners.

Honigs was partially supported by NSF MSPRF grant DMS-160628 and thanks Nick Addington and Karl Schwede for helpful conversations. Lieblich was partially supported by NSF CAREER DMS-1056129, NSF standard grant DMS-1600813, and a Simons Foundation Fellowship; he thanks Martin Olsson for helpful remarks. Tirabassi was partially supported by grant 261756 of the Research Councils of Norway; she is grateful to Christian Liedtke and Richard Thomas for very interesting and stimulating mathematical discussions.

Received 12 February 2019

Accepted 2 September 2019

Published 24 May 2022