Openness of the F-rational locus and smooth base change

DOI10.1016/S0021-8693(05)80010-9zbMath0826.13009OpenAlexW1995736956MaRDI QIDQ1891497

Juan Diego Vélez

Publication date: 5 July 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(05)80010-9

zbMATH Keywords

tight closuresystem of parametersprime characteristic\(F\)-rational ring\(\Gamma\)-constructionsopenness of the \(F\)-rational locus

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Regular local rings (13H05)

Related Items

Perverse \(\mathbb{F}_p\)-sheaves on the affine Grassmannian, A uniform treatment of Grothendieck's localization problem, Global parameter test ideals, A Buchsbaum theory for tight closure, SOME CONDITIONS FOR THE EQUIVALENCE OF WEAK AND STRONG F-REGULARITY, Rational singularities associated to pairs, On the behavior of \(F\)-signatures, splitting primes, and test modules under finite covers, Tight closure of parameter ideals in local rings \(F\)-rational on the punctured spectrum, Gröbner deformations and F‐singularities, \(F\)-nilpotent rings and permanence properties, Bertini theorems admitting base changes, Openness of splinter loci in prime characteristic, Good filtrations and strong \(F\)-regularity of the ring of \(U_P\)-invariants, \(F\)-rationality of Rees algebras, The bound of the difference between parameter ideals and their tight closures., Good filtrations and \(F\)-purity of invariant subrings, F-rationality of Rees algebras, The injectivity of Frobenius acting on cohomology and local cohomology modules, THE GAMMA CONSTRUCTION AND ASYMPTOTIC INVARIANTS OF LINE BUNDLES OVER ARBITRARY FIELDS, G-Prime andG-PrimaryG-Ideals onG-Schemes, On the behavior of F-rational rings under flat base change, \(F\)-rationality of the ring of modular invariants, Test ideals and base change problems in tight closure theory

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