Lipschitz normally embedded set and tangent cones at infinity

Abstract

We prove that any analytic set in $\C^n$ with a unique tangent cone at infinity is an algebraic set. We prove that the degree of a complex algebraic set in $\C^n$, which is Lipschitz normally embedded at infinity, is equal to the degree of its tangent cone at infinity.

Cited by in corpus (2)

• Characterization of Lipschitz Normally Embedded complex curves
• On Lipschitz Normally Embedded singularities