A CharacteristicpAnalog of Multiplier Ideals and Applications#

DOI10.1080/AGB-200060022zbMath1090.13003MaRDI QIDQ5707914

Nobuo Hara

Publication date: 25 November 2005

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

zbMATH Keywords

Fujita's freeness conjecturetest idealuniform boundmultiplier ideal\({\mathfrak a}^t\)-tight closure

Mathematics Subject Classification ID

Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Regular local rings (13H05)

Related Items (13)

Generalized test ideals and symbolic powers ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ A refinement of sharply \(F\)-pure and strongly \(F\)-regular pairs ⋮ Counterexamples to Bertini theorems for test ideals ⋮ Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems ⋮ Stability of test ideals of divisors with small multiplicity ⋮ Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers ⋮ Centers of \(F\)-purity ⋮ The uniform symbolic topology property for diagonally \(F\)-regular algebras ⋮ Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic ⋮ Hilbert-Kunz multiplicity of fibers and Bertini theorems ⋮ Test ideals in non-$\mathbb{Q}$-Gorenstein rings ⋮ On strongly \(F\)-regular inversion of adjunction

Cites Work

• Unnamed Item
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• On Fujita's freeness conjecture for 3-folds and 4-folds
• Comparison of symbolic and ordinary powers of ideals.
• Adjoints of ideals in regular local rings (with an appendix by Steven Dale Cutkosky)
• Geometric interpretation of tight closure and test ideals
• The multiplier ideal is a universal test ideal
• On the commutation of the test ideal with localization and completion
• F-Regularity, Test Elements, and Smooth Base Change
• On a generalization of test ideals
• A generalization of tight closure and multiplier ideals
• Uniform bounds and symbolic powers on smooth varieties
• A subadditivity property of multiplier ideals.

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