Thomas Bauer, Michael Funke, Sebastian Neumann
Published 2009-12-04Version 1
Zariski chambers provide a natural decomposition of the big cone of an algebraic surface into rational locally polyhedral subcones that are interesting from the point of view of linear series. In the present paper we present an algorithm that allows to effectively determine Zariski chambers when the negative curves on the surface are known. We show how the algorithm can be used to compute the number of chambers on Del Pezzo surfaces.
Nef cone volumes and discriminants of abelian surfaces
Log canonical thresholds of del Pezzo surfaces
Bigness of the tangent bundle of del Pezzo surfaces and $D$-simplicity
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