Vanishing of the higher direct images of the structure sheaf

DOI10.1112/S0010437X15007435zbMath1330.14024arXiv1404.1827MaRDI QIDQ3463485

Kay Rülling, Andre Chatzistamatiou

Publication date: 14 January 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1827

zbMATH Keywords

birational mapshigher direct images

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Rational and birational maps (14E05)

Related Items (8)

On the direct summand conjecture and its derived variant ⋮ Suslin homology of relative curves with modulus ⋮ Global Frobenius liftability II: surfaces and Fano threefolds ⋮ The Log Product Formula in Quantum K-theory ⋮ Birational invariance of \(H^1 (\mathcal{O})\) ⋮ Dolbeault cohomologies of blowing up complex manifolds. II: Bundle-valued case ⋮ Global Frobenius liftability. I ⋮ The adic tame site

Cites Work

• Higher direct images of the structure sheaf in positive characteristic
• Rational points over finite fields for regular models of algebraic varieties of Hodge type \(\geq 1\)
• Grothendieck duality and base change
• Cohen-Macaulayness in graded algebras
• Bivariance, Grothendieck duality and Hochschild homology. II: The fundamental class of a flat scheme-map
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Congruences for rational points on varieties over finite fields
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• On Witt vector cohomology for singular varieties

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