Lojasiewicz Type Inequalities and Newton Diagrams

DOI10.2307/2048671zbMath0737.58001OpenAlexW4250721288MaRDI QIDQ3974527

Toshizumi Fukui

Publication date: 25 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048671

zbMATH Keywords

singularities of differentiable mapsLojasiewicz type inequality

Mathematics Subject Classification ID

Jets in global analysis (58A20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations, The Łojasiewicz exponent of an isolated weighted homogeneous surface singularity, The Łojasiewicz exponent of nondegenerate surface singularities, Lê numbers and Newton diagram, THE ŁOJASIEWICZ EXPONENT FOR WEIGHTED HOMOGENEOUS POLYNOMIAL WITH ISOLATED SINGULARITY, On the effective computation of Łojasiewicz exponents via Newton polyhedra, Newton polyhedra and order of contact on real hypersurfaces, Polar invariants of plane curves and the Newton polygon, Effective formulas for the local Łojasiewicz exponent, The Łojasiewicz exponent of nondegenerate surface singularities, Łojasiewicz inequality for weighted homogeneous polynomial with isolated singularity, Resolution of singularities and geometric proofs of the Łojasiewicz inequalities, The Łojasiewicz exponent of a continuous subanalytic function at an isolated zero, Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals, Łojasiewicz exponents and resolution of singularities, The Łojasiewicz exponent in non-degenerate deformations of surface singularities