Tohoku Mathematical Journal
2019
December
SECOND SERIES VOL. 71, NO. 4

Tohoku Math. J.
71 (2019), 549-557

Title VANISHING FOR FROBENIUS TWISTS OF AMPLE VECTOR BUNDLES

Author Daniel Litt

(Received August 22, 2017, revised January 15, 2018)
Abstract. 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.

Mathematics Subject Classification. Primary 14M25; Secondary 14F17.
Key words and phrases. toric varieties, vanishing theorems, Cartier isomorphism.

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