An introduction to Lipschitz geometry of complex singularities

DOI10.1007/978-3-030-61807-0_7zbMath1457.32073arXiv2007.04160OpenAlexW3041635823MaRDI QIDQ2223581

Anne Pichon

Publication date: 29 January 2021

Full work available at URL: https://arxiv.org/abs/2007.04160

zbMATH Keywords

complex singularitiesLipschitz classification

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Related Items (4)

On Lipschitz normally embedded complex surface germs ⋮ Singularities. Abstracts from the workshop held September 26 -- October 2, 2021 (hybrid meeting) ⋮ Geometric viewpoint of Milnor's fibration theorem ⋮ Basics on Lipschitz geometry

Cites Work

• Fifteen characterizations of rational double points and simple critical points
• Bi-Lipschitz geometry of weighted homogeneous surface singularities
• Bi-Lipschitz geometry of complex surface singularities
• Lipschitz properties of semi-analytic sets
• Multi-step concentration of the curvature in Milnor fibers
• On analytic function germs of two complex variables
• Topological equivalence of complex curves and bi-lipschitz homeomorphisms
• The thick-thin decomposition and the bilipschitz classification of normal surface singularities
• Multiplicity of singularities is not a bi-Lipschitz invariant
• A quick trip into local singularities of complex curves and surfaces
• The valuative tree is the projective limit of Eggers-Wall trees
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Multiplicity, regularity and blow-spherical equivalence of complex analytic sets
• Lipschitz geometry of complex curves
• A characterization of Lipschitz normally embedded surface singularities
• Minimal surface singularities are Lipschitz normally embedded
• Neighborhoods of Algebraic Sets
• Inner metric geometry of complex algebraic surfaces with isolated singularities
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Lipschitz stratification of subanalytic sets
• Multiplicity and degree as bi-Lipschitz invariants for complex sets
• Normal Two-Dimensional Singularities. (AM-71)
• Separating sets, metric tangent cone and applications for complex algebraic germs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An introduction to Lipschitz geometry of complex singularities