Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Runge tubes

Franc Forstnerič

created by daniele on 16 May 2018

24 may 2018 -- 11:30

Aula 2, DiMaI, Firenze

Abstract.

I will describe a simple proof of the existence and plenitude of Runge tubes in ℂn (n>1) and, more generally, in Stein manifolds with the density property. In particular, for any algebraic submanifold A of codimension at least two in a complex Euclidean space ℂn, the normal bundle of A in ℂn admits a holomorphic embedding onto a Runge domain in ℂn which agrees with the inclusion map A↪ℂn on the zero section. (Joint work with Erlend F. Wold.)

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