Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals

DOI10.1007/s00209-008-0380-zzbMath1168.32022OpenAlexW2012173753MaRDI QIDQ1024206

Carles Bivià-Ausina

Publication date: 16 June 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/21.11116/0000-0004-270D-3

zbMATH Keywords

Milnor numberintegral closure of idealslattice polytopesmixed multiplicities of idealsNewton polyhedraLojasiewicz exponents

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Related Items

Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations, Submodules of minimal Buchsbaum-Rim multiplicity and applications, The Łojasiewicz exponent of semiquasihomogeneous singularities, Some remarks on the planar Kouchnirenko's theorem, Milnor numbers in deformations of homogeneous singularities, Bounds of the multiplicity of abelian quotient complete intersection singularities, Mixed Łojasiewicz exponents and \(\log\) canonical thresholds of ideals, The Łojasiewicz exponent of a set of weighted homogeneous ideals, Integral closure and bounds for quotients of multiplicities of monomial ideals, Jumps of Milnor numbers of Brieskorn-Pham singularities in non-degenerate families, The sequence of mixed Łojasiewicz exponents associated to pairs of monomial ideals, Arnold's problem on monotonicity of the Newton number for surface singularities, Łojasiewicz exponents and resolution of singularities, MULTIPLICITY AND ŁOJASIEWICZ EXPONENT OF GENERIC LINEAR SECTIONS OF MONOMIAL IDEALS

Uses Software

• SINGULAR

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