Weyl and Zariski chambers on K3 surfaces
Algebraic Geometry
2010-06-03 v1
Abstract
The big cone of every K3 surface admits two natural chamber decompositions: the decomposition into Zariski chambers, and the decomposition into simple Weyl chambers. In the present paper we compare these two decompositions and we study their mutual relationship: First, we give a numerical criterion for the two decompositions to coincide. Secondly, we study the mutual inclusions of Zariski and simple Weyl chambers. Finally, we establish the fact that -- even though the decompositions themselves may differ -- the number of Zariski chambers always equals the number of simple Weyl chambers.
Cite
@article{arxiv.1006.0465,
title = {Weyl and Zariski chambers on K3 surfaces},
author = {Thomas Bauer and Michael Funke},
journal= {arXiv preprint arXiv:1006.0465},
year = {2010}
}