Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications

DOI10.1216/JCA-2010-2-4-515zbMath1237.13048arXiv0802.2329OpenAlexW2029556607MaRDI QIDQ412522

Ngô Viêt Trung, Jugal Kishore Verma

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/0802.2329

zbMATH Keywords

Hilbert functionassociated graded ringRees algebraMilnor numbermixed volumesfiber conejoint reductions

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (12)

Multigraded Castelnuovo-Mumford regularity via Klyachko filtrations ⋮ A study of nonlinear multiview varieties ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Multiplicity sequence and integral dependence ⋮ Mixed multiplicities and projective degrees of rational maps ⋮ The Hilbert function of bigraded algebras in \(k[\mathbb{P}^1 \times \mathbb{P}^1\)] ⋮ Mixed multiplicities, Segre numbers and Segre classes ⋮ Mixed multiplicities of graded families of ideals ⋮ Mixed multiplicities and the minimal number of generator of modules ⋮ The Bhattacharya Function of Complete Monomial Ideals in Two Variables ⋮ Convex bodies and graded families of monomial ideals ⋮ An inequality in mixed multiplicities

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