A uniform treatment of Grothendieck's localization problem
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Publication:5037282
DOI10.1112/S0010437X21007715zbMath1485.14005arXiv2004.06737MaRDI QIDQ5037282
Publication date: 28 February 2022
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06737
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Deformations of singularities (14B07) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)
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Cites Work
- Corrigendum to ``On the localization theorem for \(F\)-pure rings
- Variants of normality for Noetherian schemes
- Eine Bemerkung über Ringe mit geometrisch normalen formalen Fasern
- Toroidal embeddings. I
- P-rings and P-homomorphisms
- Lifting seminormality
- Desingularization of quasi-excellent schemes in characteristic zero
- On the localization theorem for \(F\)-pure rings
- Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
- Openness of loci, P-excellent rings and modules
- Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
- On ideal-adic completion of Noetherian rings
- Homology of local flat extensions and complete intersection defects
- Desingularization of two-dimensional schemes
- Nagata's criterion and openness of loci for Gorenstein and complete intersection
- Singularités rationnelles et déformations
- Formal fibers and openness of loci
- Structure of local homomorphisms
- Smoothness, semi-stability and alterations
- On the behavior of F-rational rings under flat base change
- Coherence of local and global hulls
- Localisation de la lissite formelle
- Zariski-decomposition and abundance
- Openness of the F-rational locus and smooth base change
- Homology of schemes
- Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
- Ideal-adic completion of quasi-excellent rings (after Gabber)
- Resolution of singularities of arithmetical threefolds
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Méthode simpliciale en algèbre homologique et algèbre commutative
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- On the closedness of singular loci
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Local cohomology and F-stability
- On arithmetic Macaulayfication of Noetherian rings
- On the semicontinuity problem of fibers and globalF-regularity
- F-Pure Homomorphisms, StrongF-regularity, andF-injectivity
- F-rational rings have rational singularities
- F-Purity and Rational Singularity
- A note on universally catenary rings
- Sur les anneaux universellement japonais
- Komplettierung semilokaler quasiausgezeichneter Ringe
- Dualizing complexes and flat homomorphisms of commutative Noetherian rings
- Some properties of weakly normal varieties
- Deformations of canonical singularities
- F-Regularity, Test Elements, and Smooth Base Change
- Introduction to Singularities
- $F$-singularities in families
- Introduction
- Commutative $n$-Gorenstein Rings.
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