Integral closure and bounds for quotients of multiplicities of monomial ideals

DOI10.1016/j.jalgebra.2017.12.030zbMath1388.13050OpenAlexW2790139170MaRDI QIDQ1703216

Carles Bivià-Ausina

Publication date: 1 March 2018

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

Full work available at URL: http://hdl.handle.net/10251/103293

zbMATH Keywords

multiplicitymonomial idealmixed multiplicityintegral closureNewton polyhedraNewton filtration

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Local complex singularities (32S05)

Related Items (2)

Global multiplicity, special closure and non-degeneracy of gradient maps ⋮ The sequence of mixed Łojasiewicz exponents associated to pairs of monomial ideals

Cites Work

• Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations
• Asymptotic Samuel function of hyperplane sections and multiplicity
• Mixed Łojasiewicz exponents and \(\log\) canonical thresholds of ideals
• Joint reductions of monomial ideals and multiplicity of complex analytic maps
• Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals
• General elements and joint reductions
• Polyedres de Newton et nombres de Milnor
• Mixed Multiplicities, Joint Reductions and Quasi-Unmixed Local Rings
• Generalizations of Reductions and Mixed Multiplicities
• Newton polytopes and non-degeneracy
• Newton filtrations, graded algebras and codimension of non-degenerate ideals
• Several Complex Variables and the Geometry of Real Hypersurfaces
• MULTIPLICITY AND ŁOJASIEWICZ EXPONENT OF GENERIC LINEAR SECTIONS OF MONOMIAL IDEALS
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