Vanishing Theorems for Toric Polyhedra
نویسنده
چکیده
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 E1-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.
منابع مشابه
A Generalization of Danilov’s Vanishing Theorem
We treat a generalization of Danilov’s vanishing theorem on toric polyhedra. A toric polyhedron is a reduced closed subscheme of a toric variety that are partial unions of the orbits of the torus action. We also give a proof of the E1-degeneration of Hodge to de Rham type spectral sequence for toric polyhedra in any characteristic.
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