Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

Abstract

We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.

Keywords

• line bundle cohomology
• del pezzo surfaces
• hirzebruch surfaces
• 32l10
• 55n30
• 19l10