\(F\)-jumping and \(F\)-Jacobian ideals for hypersurfaces

DOI10.1016/j.jpaa.2015.06.012zbMath1335.13005arXiv1302.3327OpenAlexW2963220543MaRDI QIDQ886982

Luis Núñez-Betancourt, Felipe Pérez

Publication date: 27 October 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3327

zbMATH Keywords

\(D\)-modulestest ideals\(F\)-jumping numbers\(F\)-modules

Mathematics Subject Classification ID

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

Related Items (1)

Bernstein-Sato theory for singular rings in positive characteristic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Towards transversality of singular varieties: splayed divisors
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Discreteness and rationality of \(F\)-thresholds
• \(F\)-adjunction
• Tight closure does not commute with localization
• Minimal \(\gamma \)-sheaves
• Tight closure of parameter ideals
• Test ideals in diagonal hypersurface rings. II.
• The intersection homology \(D\)-module in finite characteristic
• The \(D\)-module structure of \(F\)-split rings
• The \(F\)-pure threshold of a Calabi-Yau hypersurface
• Generators of \(D\)-modules in positive characteristic
• On the commutation of the test ideal with localization and completion
• Splayed divisors and their Chern classes
• A survey of test ideals
• Cartier modules: Finiteness results
• F-rational rings have rational singularities
• Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• $F$-thresholds of hypersurfaces
• F-Regularity, Test Elements, and Smooth Base Change
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• F-Purity and Rational Singularity in Graded Complete Intersection Rings
• A generalization of tight closure and multiplier ideals
• Strong F-regularity in images of regular rings
• Test Ideals in Local Rings
• Test ideals via algebras of 𝑝^{-𝑒}-linear maps
• Measuring Singularities with Frobenius: The Basics
• p −1-Linear Maps in Algebra and Geometry
• $F$-invariants of diagonal hypersurfaces

This page was built for publication: \(F\)-jumping and \(F\)-Jacobian ideals for hypersurfaces