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Lipschitz normally embedded set and tangent cones at infinity

Published 22 Mar 2021 in math.CV and math.DG | (2103.11523v1)

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

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