On Lipschitz rigidity of complex analytic sets

Date(s) : 04/04/2019   iCal
14 h 00 min - 15 h 00 min

In this talk, we will prove that any complex analytic set in $\mathbb{C}^n$ which is Lipschitz normally embedded at infinity and has tangent cone at infinity that is a linear subspace of $\mathbb{C}^n$ must be an affine linear subspace of $\mathbb{C}^n$ itself. No restrictions on the singular set, dimension nor codimension are required. In particular, any complex algebraic set in $\mathbb{C}^n$ which is Lipschitz regular at infinity is an affine linear subspace.
This is a joint work with Alexandre Fernandes.


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