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

By Max Lieblich, Davesh Maulik. 2011

78 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/05e6535169d4854e720683fbce1eb299c0173f78

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In Geometry and Topology

1. D. Huybrechts
2. E. Markman
3. Kieran G. O’Grady
4. P. Stellari
5. Emanuele Macrì
6. Keiji Oguiso
7. Ulrike Riess
8. Justin Sawon

In Mathematical Physics

1. D. Huybrechts
2. P. Stellari
3. Emanuele Macrì
4. E. Markman
5. Keiji Oguiso
6. Ulrike Riess
7. D. Joyce
8. Arend Bayer

Citations in the corpus

• Lectures on K3 Surfaces (2016, background): “7, hold for projective K3 surfaces over algebraically closed fields of positive characteristic, see [367].”