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Vanishing for Frobenius twists of ample vector bundles. (English) Zbl 1442.14165
Summary: We prove several asymptotic vanishing theorems for Frobenius twists of ample vector bundles in positive characteristic. As an application, we improve the Bott-Danilov-Steenbrink vanishing theorem for ample vector bundles on toric varieties.
##### MSC:
 14M25 Toric varieties, Newton polyhedra, Okounkov bodies 14F17 Vanishing theorems in algebraic geometry
##### Keywords:
toric varieties; vanishing theorems; Cartier isomorphism
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##### References:
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