A note on the cone conjecture for K3 surfaces in positive characteristic
Name
1102.3377.pdf
Description
Accepted version
Size
164.65 KB
Format
Unknown
Checksum (MD5)
b46b2287ab7a7f04508c3d8f3f844ff1
Author(s)
Lieblich, Max
Maulik, Davesh
Date Issued
January 2018
Journal
Mathematical Research Letters
Publisher
International Press of Boston
Version
Author's final manuscript
Abstract
© 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4310/MRL.2018.v25.n6.a9
