On Lipschitz rigidity of complex analytic sets

DOI10.1007/s12220-019-00162-xzbMath1448.14002arXiv1705.03085OpenAlexW2964224946MaRDI QIDQ2303813

José Edson Sampaio, Alexandre C. G. Fernandes

Publication date: 5 March 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03085

zbMATH Keywords

Lipschitz regularityalgebraic setstangent cone at infinity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Lipschitz (Hölder) classes (26A16) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items

Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings ⋮ On the Fukui–Kurdyka–Paunescu conjecture ⋮ On Lipschitz geometry at infinity of complex analytic sets ⋮ On a link criterion for Lipschitz normal embeddings among definable sets ⋮ Characterization of Lipschitz normally embedded complex curves ⋮ On Zariski’s multiplicity problem at infinity ⋮ Some classes of homeomorphisms that preserve multiplicity and tangent cones ⋮ Lipschitz normally embedded set and tangent cones at infinity

Cites Work

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• Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones
• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• Normal embeddings of semialgebraic sets
• Lipschitz regular complex algebraic sets are smooth
• Genericity in Polynomial Optimization
• On tangent cones at infinity of algebraic varieties
• Cones in Complex Affine Space are Topologically Singular

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