A Volume = Multiplicity formula for 𝑝-families of ideals

DOI10.1090/proc/16451arXiv2207.03004MaRDI QIDQ6052128

Sudipta Das

Publication date: 21 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03004

zbMATH Keywords

Hilbert-Kunz multiplicity\(p\)-systems\(p\)-familiesOK-domain

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Valuations and their generalizations for commutative rings (13A18)

Cites Work

• Asymptotic multiplicities of graded families of ideals and linear series
• \(F\)-signature exists
• Some surprising Hilbert-Kunz functions
• Local Okounkov bodies and limits in prime characteristic
• The Hilbert-Kunz function
• A general volume = multiplicity formula
• Multiplicities associated to graded families of ideals
• Observations on the \(F\)-signature of local rings of characteristic \(p\)
• The structure of \(F\)-pure rings
• Convex bodies associated to linear series
• On Noetherian Rings of Characteristic p
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
• Hilbert–Kunz Multiplicity and the F-Signature

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