Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
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Publication:1989468
DOI10.1007/s00222-018-0813-1zbMath1436.13009arXiv1705.02300OpenAlexW3100931439WikidataQ129458217 ScholiaQ129458217MaRDI QIDQ1989468
Publication date: 26 October 2018
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.02300
Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18) Perfectoid spaces and mixed characteristic (14G45)
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Cites Work
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- Integral \(p\)-adic Hodge theory-announcement
- Desingularization of quasi-excellent schemes in characteristic zero
- On the canonical module of the Rees algebra and the associated graded ring of an ideal
- Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
- A generalization of Kodaira-Ramanujam's vanishing theorem
- Generalized divisors on Gorenstein schemes
- Almost ring theory
- Linear equivalence of ideal topologies
- Comparison of symbolic and ordinary powers of ideals.
- On the direct summand conjecture and its derived variant
- Symbolic powers of ideals
- Perfectoid spaces
- On the divisor class group of Rees-algebras
- Uniform equivalence of symbolic and adic topologies
- Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution
- Fine behavior of symbolic powers of ideals
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- 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
- On the Valuations Centered in a Local Domain
- Formulas for multiplier ideals on singular varieties
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- Comparing powers and symbolic powers of ideals
- A primer on Seshadri constants
- Vanishing theorems.
- A generalization of tight closure and multiplier ideals
- A CharacteristicpAnalog of Multiplier Ideals and Applications#
- Uniform bounds and symbolic powers on smooth varieties
- A subadditivity property of multiplier ideals.
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