A note on the cone conjecture for K3 surfaces in positive characteristic
Author(s)
Lieblich, Max; Maulik, Davesh
DownloadAccepted version (164.6Kb)
Terms of use
Metadata
Show full item recordAbstract
© 2018 International Press of Boston, Inc.. All rights reserved. We prove that, for a K3 surface in characteristic p > 2, the automorphism group acts on the nef cone with a rational polyhedral fundamental domain and on the nodal classes with finitely many orbits. As a consequence, for any non-negative integer g, there are only finitely many linear systems of irreducible curves on the surface of arithmetic genus g, up to the action of the automorphism group.
Date issued
2018-01Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Mathematical Research Letters
Publisher
International Press of Boston