Vanishing theorems for toric polyhedra

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dc.creatorFujino, Osamu
dc.date2007-07-21
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:06Z
dc.date.available2026-07-07T09:18:06Z
dc.descriptionA 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.
dc.description15 pages; title changed, a completely revised and expanded version, v3: very minor modifications
dc.identifierhttps://arxiv.org/abs/0707.3178
dc.identifierhttp://arxiv.org/abs/0707.3178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153909
dc.subjectAlgebraic Geometry
dc.subject14F17; 14F25
dc.titleVanishing theorems for toric polyhedra
dc.typetext

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