\(F\)-volumes

DOI10.1016/j.jalgebra.2021.12.002zbMath1502.13040arXiv1912.03710OpenAlexW4200037120MaRDI QIDQ2068162

Sandra Rodríguez-Villalobos, Wágner Badilla-Céspedes, Luis Núñez-Betancourt

Publication date: 19 January 2022

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

Full work available at URL: https://arxiv.org/abs/1912.03710

zbMATH Keywords

singularitiesprime characteristicHilbert-Kunz multiplicity\(F\)-thresholds\(F\)-volumes

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

• Unnamed Item
• On the constancy regions for mixed test ideals
• \(F\)-signature exists
• Discreteness and rationality of \(F\)-thresholds
• F-thresholds, tight closure, integral closure, and multiplicity bounds
• Local Okounkov bodies and limits in prime characteristic
• Two theorems about maximal Cohen-Macaulay modules
• Hilbert-Kunz multiplicities and \(F\)-thresholds
• Observations on the \(F\)-signature of local rings of characteristic \(p\)
• F-THRESHOLDS OF GRADED RINGS
• DiagonalF-Thresholds on Binomial Hypersurfaces
• F-Purity and Rational Singularity
• Simplicity of Rings of Differential Operators in Prime Characteristic
• On the existence of 𝐹-thresholds and related limits
• A generalization of tight closure and multiplier ideals

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