Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications
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Publication:412522
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
Hilbert functionassociated graded ringRees algebraMilnor numbermixed volumesfiber conejoint reductions
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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