Divisorial cohomology vanishing on toric varieties
Markus Perling
Ruhr-Universität Bochum Fakultät für Mathematik Universitätsstraße 150 44780 Bochum, Germany
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Abstract
This work discusses combinatorial and arithmetic aspects of cohomology vanishing for divisorial sheaves on toric varieties. We obtain a refined variant of the Kawamata-Viehweg theorem which is slightly stronger. Moreover, we prove a new vanishing theorem related to divisors whose inverse is nef and has small Iitaka dimension. Finally, we give a new criterion for divisorial sheaves for being maximal Cohen-Macaulay.
Cite this article
Markus Perling, Divisorial cohomology vanishing on toric varieties. Doc. Math. 16 (2011), pp. 209–251
DOI 10.4171/DM/331