Vanishing theorems for toric polyhedra

Details Vanishing theorems for toric polyhedra Vanishing theorems for toric polyhedra

2007-07-21

arxiv.org/abs/0707.3178v3

Mathematics

Algebraic Geometry

15 pages; title changed, a completely revised and expanded version, v3: very minor modifications

Scientific paper

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 $E_1$-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.

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