A general volume = multiplicity formula

DOI10.1007/s40306-014-0093-9zbMath1408.13062OpenAlexW2087206299MaRDI QIDQ2352391

Steven Dale Cutkosky

Publication date: 1 July 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-014-0093-9

zbMATH Keywords

volumemultiplicitysemigroupgraded family of idealsNoetherian local ring

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05)

Related Items (4)

A Volume = Multiplicity formula for 𝑝-families of ideals ⋮ Log canonical threshold and diagonal ideals ⋮ Mixed multiplicities of graded families of ideals ⋮ Convex bodies and graded families of monomial ideals

Cites Work

• Multiplicities associated to generalized symbolic powers
• Asymptotic multiplicities of graded families of ideals and linear series
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Asymptotic multiplicities
• On multiplicities of graded sequences of ideals.
• Multiplicities associated to graded families of ideals
• Convex bodies associated to linear series
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
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