Test ideals in diagonal hypersurface rings. II.

DOI10.1016/S0021-8693(03)00125-XzbMath1050.13003arXivmath/0207109MaRDI QIDQ1398157

Moira A. McDermott

Publication date: 29 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0207109

zbMATH Keywords

characteristic \(p\)computing the test idealdiagonal hypersurface ring

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Hypersurfaces and algebraic geometry (14J70)

Related Items (4)

\(F\)-jumping and \(F\)-Jacobian ideals for hypersurfaces ⋮ The multiplier ideal is a universal test ideal ⋮ A subadditivity formula for multiplier ideals associated to log pairs ⋮ $F$-invariants of diagonal hypersurfaces

Uses Software

• Macaulay2

Cites Work

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• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• Tight closure in graded rings
• Geometric interpretation of tight closure and test ideals
• The multiplier ideal is a universal test ideal
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Multiplier Ideals, Vanishing Theorem and Applications
• Tight closure, plus closure and Frobenius closure in cubical cones
• F-Purity and Rational Singularity in Graded Complete Intersection Rings
• Test ideals in diagonal hypersurface rings
• Localization and test exponents for tight closure

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