Lipschitz regular complex algebraic sets are smooth
By L. Birbrair, A. Fernandes, E. Sampaio, L. D. Tráng. 2014
55 citations recorded by the source corpus.
A classical Theorem of Mumford implies that a topologically regular complex algebraic surface in C 3 with an isolated singular point is smooth. We prove that any Lipschitz regular complex algebraic set is smooth. No restriction on the dimension and no restriction on the singularity to be isolated is needed.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d1b3fbb21675e832394efdeaf27ad9db61c105a1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones (2014, methodology): “In the joint work of the author [2], we define the notion of Lipschitz regular complex analytic sets as the sets being subanalytically Lipschitz regular as in the definition above.”