Tight closure does not commute with localization
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Publication:974050
DOI10.4007/annals.2010.171.571zbMath1239.13008arXiv0710.2913OpenAlexW2964035334WikidataQ29999120 ScholiaQ29999120MaRDI QIDQ974050
Publication date: 27 May 2010
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.2913
Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items (24)
On the vanishing of local cohomology of the absolute integral closure in positive characteristic ⋮ Equimultiplicity in Hilbert-Kunz theory ⋮ Coherence of absolute integral closures ⋮ Some extensions of Hilbert-Kunz multiplicity ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ Tight closure and strongly F-regular rings ⋮ \(F\)-jumping and \(F\)-Jacobian ideals for hypersurfaces ⋮ Content of local cohomology, parameter ideals, and robust algebras ⋮ On semicontinuity of multiplicities in families ⋮ Properties of analogues of Frobenius powers of ideals ⋮ On the equality of test ideals ⋮ On the semicontinuity problem of fibers and globalF-regularity ⋮ F-coherent rings with applications to tight closure theory ⋮ Closure-interior duality over complete local rings ⋮ A dual to tight closure theory ⋮ Associated Primes of the Example of Brenner and Monsky ⋮ Fiber cones, analytic spreads of the canonical and anticanonical ideals and limit Frobenius complexity of Hibi rings ⋮ Tight closure in non-excellent rings ⋮ Upper semi-continuity of the Hilbert–Kunz multiplicity ⋮ On the localization theorem for \(F\)-pure rings ⋮ An observation on generalized Hilbert-Kunz functions ⋮ Growth of primary decompositions of Frobenius powers of ideals ⋮ Generic positivity and foliations in positive characteristic ⋮ The F-rational signature and drops in the Hilbert-Kunz multiplicity
Cites Work
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- The rationality of the Hilbert-Kunz multiplicity in graded dimension two
- Hilbert-Kunz functions in a family: Point-\(S_4\) quartics
- Tight closure of parameter ideals
- Tight closure and projective bundles.
- Ample vector bundles
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- A characterization of rational singularities in terms of injectivity of Frobenius maps
- Slopes of vector bundles on projective curves and applications to tight closure problems
- Tight closure commutes with localization in binomial rings
- Tight Closure’s Failure to Localize - a Self-Contained Exposition
- Strong and weak F -regularity are equivalent for graded rings
- On the arithmetic of tight closure
- Tight closure and plus closure in dimension two
- Localization and test exponents for tight closure
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