We are experiencing minor difficulties with our submission forms, which we are working to resolve. If you have any issues while submitting items, please contact us at dspace-lib@mit.edu.

A note on the cone conjecture for K3 surfaces in positive characteristic

Thumbnail Image
Download
Name

1102.3377.pdf

Description
Accepted version
Size

164.65 KB

Format

Adobe PDF

Checksum (MD5)

b46b2287ab7a7f04508c3d8f3f844ff1

sword-2019-11-14T19:46:21.original.xml (130 B)
Original SWORD entry document
Author(s)
Lieblich, M
•
Maulik, D
Date Issued
January 1, 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.
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
10.4310/MRL.2018.v25.n6.a9
PrivacyPermissionsAccessibilityContact us
Notify us about copyright concerns.