Generalized Samuel Multiplicities of Monomial Ideals and Volumes

DOI10.1080/10586458.2019.1671919zbMath1498.13066OpenAlexW2988168965MaRDI QIDQ5094494

Rüdiger Achilles, Mirella Manaresi

Publication date: 3 August 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11585/729776

zbMATH Keywords

monomial idealNewton polyhedrongeneralized Samuel multiplicity

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Multiplicity theory and related topics (13H15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Cites Work

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• Segre classes as integrals over polytopes
• Minimal monomial reductions and the reduced fiber ring of an extremal ideal
• Multiplicity for ideals of maximal analytic spread and intersection theory
• Multiplicities of a bigraded ring and intersection theory
• A numerical characterization of the \(S_{2}\)-ification of a Rees algebra
• Binomial ideals
• The \(j\)-multiplicity of monomial ideals
• The Analytic Spread of Monomial Ideals
• Classe de Segre locale d'un idéal et frontières de Newton
• The weak subintegral closure of a monomial ideal
• Intersection numbers, Segre numbers and generalized Samuel multiplicities

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