The direct factor conjecture

From MaRDI portal
Publication:1653851

DOI10.1007/s10240-017-0097-9zbMath1419.13029arXiv1609.00345OpenAlexW2963521775WikidataQ122902573 ScholiaQ122902573MaRDI QIDQ1653851

Yves André

Publication date: 7 August 2018

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00345




Related Items (61)

Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebraBig Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristicClosure operations in complete local rings of mixed characteristicIntegral perfectoid big Cohen-Macaulay algebras via André's theoremOn the limit closure of a sequence of elements in local ringsMaximal Cohen-Macaulay Complexes and Their Uses: A Partial SurveyOn the depth and reflexivity of tensor productsCoherence of absolute integral closuresAnnihilators of Koszul homologies and almost complete intersectionsCounter-examples to non-noetherian Elkik's approximation theoremOn the canonical, fpqc, and finite topologies on affine schemes. The state of the artAn analogue of adjoint ideals and PLT singularities in mixed characteristicDimension of finite free complexes over commutative Noetherian ringsThe Étale locus in complete local ringsReduction of the small Cohen-Macaulay conjecture to excellent unique factorization domainsNilpotence of Frobenius actions on local cohomology and Frobenius closure of idealsBIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTSTopological spectrum and perfectoid Tate ringsOn the ideal avoidance propertyOn some permanence properties of (derived) splintersAlgebraic geometry in mixed characteristicA VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRASBounds on cohomological support varietiesGlobally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristicOpenness of splinter loci in prime characteristicReductions towards a characteristic free proof of the Canonical Element TheoremSome recent advances in topological Hochschild homologyVanishing of Tors of absolute integral closures in equicharacteristic zeroAbundance theorem for threefolds in mixed characteristicHomogeneous coordinate rings as direct summands of regular ringsA differential-algebraic criterion for obtaining a small Cohen-Macaulay moduleClosure operations that induce big Cohen-Macaulay algebrasAxiomatic closure operations, phantom extensions, and solidityExtended plus closure in complete local ringsLittle dimension and the improved new intersection theoremCohomological dimensions of specialization-closed subsets and subcategories of modulesValuation rings are derived splintersDrinfeld's lemma for perfectoid spaces and overconvergence of multivariate \((\varphi, \Gamma)\)-modules\(\hat{R^+}\) is surprisingly an integral domainClosure-interior duality over complete local ringsCharacteristic-free test idealsSingularities in mixed characteristic. The perfectoid approachSingularities and perfectoid geometryOn the work of Peter ScholzeLocal cohomology of module of differentials of integral extensionsKoszul and local cohomology, and a question of DuttaQuasi-projective dimensionSingularities in mixed characteristic via perfectoid big Cohen-Macaulay algebrasTowards a homological generalization of the direct summand theoremWeak functoriality of Cohen-Macaulay algebrasColength, multiplicity, and ideal closure operationsCohomological dimension and relative Cohen-MaculaynessFrobenius splitting of valuation rings and \(F\)-singularities of centersOn \(q\)-de Rham cohomology via \(\Lambda \)-ringsKeel's base point free theorem and quotients in mixed characteristicAn extension of a depth inequality of AuslanderOn the new intersection theorem for totally reflexive modulesPrisms and prismatic cohomologyLocal cohomology of module of differentials of integral extensions. IIUniform annihilators of systems of parametersBig Cohen-Macaulay test ideals on mixed characteristic toric schemes



Cites Work


This page was built for publication: The direct factor conjecture