Vanishing for Frobenius twists of ample vector bundles

DOI10.2748/tmj/1576724793zbMath1442.14165arXiv1702.03962OpenAlexW2996205052MaRDI QIDQ2179708

Daniel Litt

Publication date: 13 May 2020

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

Full work available at URL: https://arxiv.org/abs/1702.03962

zbMATH Keywords

toric varietiesvanishing theoremsCartier isomorphism

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Vanishing theorems in algebraic geometry (14F17)

Related Items (1)

Grothendieck-Lefschetz for ample subvarieties

Cites Work

• Frobenius amplitude, ultraproducts, and vanishing on singular spaces
• Positivity properties of toric vector bundles
• Vanishing theorems for Dolbeault cohomology of log homogeneous varieties
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• On the modular representations of the general linear and symmetric groups
• Some observations on cohomologically \(p\)-ample bundles
• On the Hodge structure of projective hypersurfaces in toric varieties
• Vanishing theorems for ample vector bundles
• The Frobenius morphism on a toric variety
• Vanishing theorems on certain projective varieties
• Vanishing theorems on toric varieties.
• Frobenius amplitude and strong vanishing theorems for vector bundles. With an appendix by Dennis S. Keeler.
• Multiplication maps and vanishing theorems for toric varieties
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• THE GEOMETRY OF TORIC VARIETIES
• Cohomology of rational forms and a vanishing theorem on toric varieties
• Partial regularity and amplitude
• Unnamed Item

This page was built for publication: Vanishing for Frobenius twists of ample vector bundles