Counting Zariski chambers on del Pezzo surfaces
T Bauer, M Funke, S Neumann - Journal of Algebra, 2010 - Elsevier
T Bauer, M Funke, S Neumann
Journal of Algebra, 2010•ElsevierZariski 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.
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.
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.
Elsevier