Some observations on cohomologically \(p\)-ample bundles

DOI10.1007/BF01759316zbMath0797.14008OpenAlexW2318532821MaRDI QIDQ1312943

Luca Migliorini

Publication date: 24 February 1994

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759316

zbMATH Keywords

vanishing theorem\(p\)-ample bundle

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

Rational points of varieties with ample cotangent bundle over function fields ⋮ Vanishing for Frobenius twists of ample vector bundles ⋮ Computing the tight closure in dimension two

Cites Work

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• Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983)
• Vanishing theorems on complex manifolds
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Projective manifolds with ample tangent bundles
• Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
• Ample vector bundles
• Frobenius and the Hodge filtration (estimates)
• Ample Vector Bundles on Algebraic Surfaces