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arXiv · 0707.3178

Vanishing theorems for toric polyhedra

Osamu Fujino
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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 $E_1$-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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Osamu Fujino. 2008-02-04. Vanishing theorems for toric polyhedra. https://arxiv.org/abs/0707.3178

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