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Complex Analysis and Geometry Seminar

On neighborhoods of embedded complex tori

Laurent Stolovitch from Nice, France

Location:  Hill 005
Date & time: Friday, 06 October 2023 at 2:30PM - 3:20PM

In this joint work with X. Gong (Wisconsin-Madison U.), we show that an  \(n\)-dimensional complex torus embedded in  a complexmanifold of dimensional \(n+d\), with a split tangent bundle, has aneighborhood biholomorphic to a neighborhood of the zero section in itsnormal bundle, provided the latter has (locally constant) Hermitiantransition functions and satisfies a {\it non-resonant Diophantine}condition.

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