Counting Zariski chambers on Del Pezzo surfaces

Details Counting Zariski chambers on Del Pezzo surfaces Counting Zariski chambers on Del Pezzo surfaces

2009-12-04

arxiv.org/abs/0912.0958v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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