The Łojasiewicz exponent of an isolated weighted homogeneous surface singularity

DOI10.1090/S0002-9939-09-09935-3zbMath1203.32009MaRDI QIDQ3182577

Tadeusz Krasiński, Arkasiusz Płoski, Grzegorz Oleksik

Publication date: 9 October 2009

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

zbMATH Keywords

quasi-homogeneous singularityLojasiewicz exponent

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (14)

Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations ⋮ Clustering polar curves ⋮ The Łojasiewicz exponent of semiquasihomogeneous singularities ⋮ The Łojasiewicz exponent of weighted homogeneous polynomials at infinity ⋮ Mixed Łojasiewicz exponents and \(\log\) canonical thresholds of ideals ⋮ The Łojasiewicz exponent of a set of weighted homogeneous ideals ⋮ The Łojasiewicz exponent of nondegenerate surface singularities ⋮ THE ŁOJASIEWICZ EXPONENT FOR WEIGHTED HOMOGENEOUS POLYNOMIAL WITH ISOLATED SINGULARITY ⋮ On the Łojasiewicz exponent of Kuramoto model ⋮ 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 ⋮ On the Lojasiewicz exponents of quasi-homogeneous functions

Cites Work

• Estimation of Lojasiewicz exponents and Newton polygons
• Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces
• On analytic function germs of two complex variables
• On the Łojasiewicz exponent and Newton polyhedron
• Isolated singularities defined by weighted homogeneous polynomials
• Isolated singularities of algebraic surfaces with \(\mathbb{C}^{*}\) action
• Quasihomogeneous isolated singularities of hyperplanes.
• Topological types and multiplicities of isolated quasi-homogeneous surface singularities
• Lojasiewicz Type Inequalities and Newton Diagrams
• Resultant and the Łojasiewicz exponent
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