Mixed multiplicities of graded families of ideals

DOI10.1016/j.jalgebra.2021.10.010zbMath1480.13022arXiv2010.11862OpenAlexW3205989628MaRDI QIDQ2240462

Jonathan Montaño, Yairon Cid-Ruiz

Publication date: 4 November 2021

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

Full work available at URL: https://arxiv.org/abs/2010.11862

zbMATH Keywords

mixed multiplicitieslinear growthgraded families of idealsvolume = multiplicity formula

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15)

Related Items (3)

Epsilon multiplicity for Noetherian graded algebras ⋮ Multiplicities and mixed multiplicities of arbitrary filtrations ⋮ Convex bodies and graded families of monomial ideals

Cites Work

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• Asymptotic multiplicities of graded families of ideals and linear series
• Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Symbolic powers of monomial ideals and vertex cover algebras
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• On multiplicities of graded sequences of ideals.
• A general volume = multiplicity formula
• Multiplicities associated to graded families of ideals
• Asymptotic linear bounds for the Castelnuovo-Mumford regularity
• Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs
• Convex bodies associated to linear series
• Regularity of the powers of an ideal
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
• Mixed multiplicities of filtrations
• Mixed multiplicities of ideals versus mixed volumes of polytopes
• Positivity of mixed multiplicities

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