The Frobenius morphism on a toric variety

DOI10.2748/tmj/1178225109zbMath0899.14026OpenAlexW1970971420MaRDI QIDQ1384449

Niels Lauritzen, Jesper F. Thomsen, Vikram B. Mehta, Anders Skovsted Buch

Publication date: 11 November 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225109

zbMATH Keywords

characteristic \(p\)Frobenius morphismBott vanishing theoremcharacteristic \(p^2\)

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Vanishing theorems in algebraic geometry (14F17) Grassmannians, Schubert varieties, flag manifolds (14M15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Twisted holomorphic forms on generalized flag varieties, On some Frobenius restriction theorems for semistable sheaves, Vanishing theorems on toric varieties in positive characteristic, Multiplication maps and vanishing theorems for toric varieties, Bogomolov-Sommese type vanishing for globally \(F\)-regular threefolds, Vanishing for Frobenius twists of ample vector bundles, Differential operators on classical invariant rings do not lift modulo \(p\), Global Frobenius liftability II: surfaces and Fano threefolds, Some elementary examples of non-liftable varieties, Projective varieties with nef tangent bundle in positive characteristic, Hochschild cohomology of generalised Grassmannians, Deformations of compact complex manifolds with ample canonical bundles, An Example of Mirror Symmetry for Fano Threefolds, Cartier isomorphism for toric varieties, On \(W_2\)-lifting of Frobenius of algebraic surfaces, Global Frobenius liftability. I, Bott vanishing for algebraic surfaces, Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings, Bott vanishing for elliptic surfaces, Vanishing theorems on toric varieties., On deformations of toric Fano varieties

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