Generalized test ideals and symbolic powers

DOI10.1307/mmj/1220879433zbMath1178.13002arXivmath/0701929OpenAlexW2109483723MaRDI QIDQ841563

Shunsuke Takagi, Ken-ichi Yoshida

Publication date: 17 September 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701929

zbMATH Keywords

test idealtight closuresymbolic powermultiplier idealsgraded system of ideals

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Regular local rings (13H05)

Related Items (7)

Containment results for ideals of various configurations of points in \(\mathbb P^N\) ⋮ The alpha problem \& line count configurations ⋮ Expected resurgence of ideals defining Gorenstein rings ⋮ Symbolic power containments in singular rings in positive characteristic ⋮ Stability of test ideals of divisors with small multiplicity ⋮ A subadditivity formula for multiplier ideals associated to log pairs ⋮ Containing Symbolic Powers in Regular Rings

Cites Work

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• Tight closure of parameter ideals
• Comparison of symbolic and ordinary powers of ideals.
• F-singularities of pairs and inversion of adjunction of arbitrary codimension
• Fine behavior of symbolic powers of ideals
• Formulas for multiplier ideals on singular varieties
• Tight closure and strong F-regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-Purity and Rational Singularity
• F-Regularity, Test Elements, and Smooth Base Change
• Evolutions, Symbolic Squares, and Fitting Ideals
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• On a generalization of test ideals
• A generalization of tight closure and multiplier ideals
• Test Ideals in Local Rings
• Characterizations of Regular Local Rings of Characteristic p
• A CharacteristicpAnalog of Multiplier Ideals and Applications^#
• Uniform bounds and symbolic powers on smooth varieties
• Localization and test exponents for tight closure

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