Growth of multiplicities of graded families of ideals

DOI10.1016/j.jalgebra.2016.01.014zbMath1359.13025arXiv1409.0816OpenAlexW2964233406MaRDI QIDQ5964504

Pham An Vinh, Huy Tái Hà

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1409.0816

zbMATH Keywords

volumemultiplicityasymptotic polynomialgraded family

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Divisors, linear systems, invertible sheaves (14C20) Regular local rings (13H05)

Cites Work

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• Asymptotic multiplicities of graded families of ideals and linear series
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Asymptotic multiplicities
• Computing \(j\)-multiplicities
• On multiplicities of graded sequences of ideals.
• Brunn-Minkowski inequality for multiplicities
• Multiplicities associated to graded families of ideals
• Local volumes of cartier divisors over normal algebraic varieties
• The \(j\)-multiplicity of monomial ideals
• Numerical criteria for integral dependence
• Asymptotic Behavior of the Length of Local Cohomology
• Hilbert polynomials and powers of ideals
• Convex bodies associated to linear series

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