Derived splinters in positive characteristic

DOI10.1112/S0010437X12000309zbMath1291.14036arXiv1109.0354OpenAlexW3104540748MaRDI QIDQ4911985

Bhargav Bhatt

Publication date: 20 March 2013

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

Full work available at URL: https://arxiv.org/abs/1109.0354

zbMATH Keywords

rational singularitiesFrobeniusvanishing theoremsF-regularsplinterderived splinterkilling cohomology

Mathematics Subject Classification ID

Related Items (15)

Maximal Cohen-Macaulay Complexes and Their Uses: A Partial Survey ⋮ Enhancing the filtered derived category ⋮ On the direct summand conjecture and its derived variant ⋮ On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ -DIVISIBILITY FOR COHERENT COHOMOLOGY ⋮ Compatible ideals in ℚ-Gorenstein rings ⋮ On some permanence properties of (derived) splinters ⋮ Algebraic geometry in mixed characteristic ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Openness of splinter loci in prime characteristic ⋮ TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS ⋮ An inclusion result for dagger closure in certain section rings of abelian varieties ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero ⋮ Valuation rings are derived splinters ⋮ A Kunz-type characterization of regular rings via alterations

Cites Work

• Galois extensions, plus closure, and maps on local cohomology
• Absolute integral closure in positive characteristic
• Tame stacks in positive characteristic
• Globally \(F\)-regular and log Fano varieties
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Infinite integral extensions and big Cohen-Macaulay algebras
• Tight closure of parameter ideals
• The direct summand conjecture in dimension three.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• The irreducibility of the space of curves of a given genus
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Ample vector bundles and branched coverings
• F-rational rings have rational singularities
• Global $F$-regularity of Schubert varieties with applications to $\mathcal {D}$-modules
• Moving codimension-one subvarieties over finite fields
• Geometric Invariant Theory
• ℚ-Gorenstein splinter rings of characteristic p are F-regular
• Direct summand conjecture and descent for flatness
• Pathologies III
• Contracted ideals from integral extensions of regular rings
• THE COHOMOLOGY RING OF G/T
• A characterization of rational singularities

This page was built for publication: Derived splinters in positive characteristic