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arXiv · 1411.4178

When are Zariski chambers numerically determined?

Slawomir Rams·Tomasz Szemberg
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Abstract

The big cone of every smooth projective surface $X$ admits the natural decomposition into Zariski chambers. The purpose of this note is to give a simple criterion for the interiors of all Zariski chambers on $X$ to be numerically determined Weyl chambers. Such a criterion generalizes the results of Bauer-Funke on K3 surfaces to arbitrary smooth projective surfaces. In the last section, we study the relation between decompositions of the big cone and elliptic fibrations on Enriques surfaces.

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Slawomir Rams, Tomasz Szemberg. 2014-11-15. When are Zariski chambers numerically determined?. https://doi.org/10.1515/forum-2015-0087

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