Vanishing theorems for toric polyhedra
Algebraic Geometry
2008-02-04 v3
Abstract
A toric polyhedron is a reduced closed subscheme of a toric variety that are partial unions of the orbits of the torus action. We prove vanishing theorems for toric polyhedra. We also give a proof of the -degeneration of Hodge to de Rham type spectral sequence for toric polyhedra in any characteristic. Finally, we give a very powerful extension theorem for ample line bundles.
Cite
@article{arxiv.0707.3178,
title = {Vanishing theorems for toric polyhedra},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:0707.3178},
year = {2008}
}
Comments
15 pages; title changed, a completely revised and expanded version, v3: very minor modifications