Communications in Number Theory and Physics

Volume 17 (2023)

Number 2

Equivariant derived equivalence and rational points on K3 surfaces

Pages: 293 – 312

DOI: https://dx.doi.org/10.4310/CNTP.2023.v17.n2.a2

Authors

Brendan Hassett (Department of Mathematics, Brown University, Providence, Rhode Island, U.S.A.)

Yuri Tschinkel (Courant Institute, New York University, New York, N.Y., U.S.A.; and the Simons Foundation, New York, N.Y., U.S.A.)

Abstract

We study arithmetic properties of derived equivalent K3 surfaces over the field of Laurent power series, using the equivariant geometry of K3 surfaces with cyclic groups actions.

Full Text (PDF format)

The first author was partially supported by Simons Foundation Award 546235 and NSF grant 1701659, the second author by NSF grant 2000099.

Received 31 May 2022

Accepted 27 March 2023

Published 4 May 2023