Effective formulas for the local Łojasiewicz exponent

DOI10.1007/s00209-009-0659-8zbMath1262.14072OpenAlexW1988914731MaRDI QIDQ543309

Tomasz Rodak, Stanisław Spodzieja

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1007/s00209-009-0659-8

zbMATH Keywords

dimensionŁojasiewicz exponenteffective formulasgerm of algebraic set

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (8)

Metric properties of semialgebraic mappings ⋮ Multiplicity and Semicontinuity of the Łojasiewicz Exponent ⋮ Separation of real algebraic sets and the Łojasiewicz exponent ⋮ Łojasiewicz inequality for a pair of semialgebraic functions ⋮ Effective calculations of the multiplicity of polynomial mappings ⋮ Effective Bertini theorem and formulas for multiplicity and the local Łojasiewicz exponent ⋮ Effective Lojasiewicz gradient inequality for Nash functions with application to finite determinacy of germs ⋮ Resolution of singularities and geometric proofs of the Łojasiewicz inequalities

Uses Software

• SINGULAR

Cites Work

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