Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems
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Publication:466547
DOI10.1016/j.matpur.2014.02.009zbMath1349.14067arXiv1212.6956OpenAlexW2097680188MaRDI QIDQ466547
Publication date: 27 October 2014
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.6956
Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18)
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Uses Software
Cites Work
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- Castelnuovo's regularity of graded rings and modules
- Discreteness and rationality of \(F\)-thresholds
- Discreteness and rationality of \(F\)-jumping numbers on singular varieties
- Bounds for the degrees in the Nullstellensatz
- Jacobian ideals and a theorem of Briancon-Skoda
- Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
- A generalization of Kodaira-Ramanujam's vanishing theorem
- A geometric effective Nullstellensatz
- Smoothness, semi-stability and alterations
- Classification of two-dimensional F-regular and F-pure singularities
- Frobenius splitting methods in geometry and representation theory
- Ample filters of invertible sheaves.
- Jumping coefficients of multiplier ideals
- Discrepancies of non-\(\mathbb Q\)-Gorenstein varieties
- Test ideals via a single alteration and discreteness and rationality of \(F\)-jumping numbers
- A Frobenius variant of Seshadri constants
- On the discreteness and rationality of \(F\)-jumping coefficients
- On the commutation of the test ideal with localization and completion
- A survey of test ideals
- Tight closure and strong F-regularity
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- Parameter-test-ideals of Cohen–Macaulay rings
- Fujita's conjecture and Frobenius amplitude
- $F$-thresholds of hypersurfaces
- F-Purity and Rational Singularity
- Vanishing theorems.
- Wildly Ramified Z/2 Actions in Dimension Two
- On Noetherian Rings of Characteristic p
- F-Regularity, Test Elements, and Smooth Base Change
- On a generalization of test ideals
- ℚ-Gorenstein splinter rings of characteristic p are F-regular
- Sharp Effective Nullstellensatz
- A generalization of tight closure and multiplier ideals
- An interpretation of multiplier ideals via tight closure
- Test Ideals in Local Rings
- Test ideals via algebras of 𝑝^{-𝑒}-linear maps
- Strong and weak F -regularity are equivalent for graded rings
- F-singularities via alterations
- The non-nef locus in positive characteristic
- On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
- A CharacteristicpAnalog of Multiplier Ideals and Applications#
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