-PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS

DOI10.1017/nmj.2016.14zbMath1362.13008arXiv1112.2423OpenAlexW2962909347MaRDI QIDQ2978867

Daniel J. Hernández

Publication date: 2 May 2017

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

Full work available at URL: https://arxiv.org/abs/1112.2423

zbMATH Keywords

log canonical threshold\(F\)-pure thresholdNewton polygon, splitting polytope

Mathematics Subject Classification ID

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

Related Items (7)

Lower bounds on the F-pure threshold and extremal singularities ⋮ Legendre polynomials roots and the \(F\)-pure threshold of bivariate forms ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ Values of the F‐pure threshold for homogeneous polynomials ⋮ $F$-pure thresholds of binomial hypersurfaces ⋮ An elementary computation of the \(F\)-pure threshold of an elliptic curve ⋮ Quantifying singularities with differential operators

Cites Work

• Log canonical thresholds of binomial ideals
• Discreteness and rationality of \(F\)-thresholds
• \(F\)-pure thresholds and \(F\)-jumping exponents in dimension two
• Generalized test ideals, sharp \(F\)-purity, and sharp test elements
• The purity of the Frobenius and local cohomology
• F-singularities of pairs and inversion of adjunction of arbitrary codimension
• On F-pure thresholds
• \(F\)-purity of hypersurfaces
• The multiplier ideal is a universal test ideal
• Multiplier ideals of monomial ideals
• $F$-thresholds of hypersurfaces
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• A generalization of tight closure and multiplier ideals
• Measuring Singularities with Frobenius: The Basics
• $F$-pure thresholds of binomial hypersurfaces
• $F$-invariants of diagonal hypersurfaces

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