Printable PDF
Department of Mathematics,
Department of Mathematics,
University of California San Diego
****************************
Food For Thought Seminar
Son Duong
An embedding problem for real-algebraic hypersurfaces in complex spaces
Abstract:
Embedding problem for real-algebraic hypersurfaces dates back to 1978 when Webster proved that real-algebraic hypersurfaces is embeddable into a hyperquadric of possibly higher dimension. In a recent paper joint with Peter Ebenfelt, we showed that this is not true for the spheres case. We will exhibit an explicit example of a close, strictly pseudoconvex hypersurface and show that it is not locally holomorphically embeddable into a sphere of any dimension whatsoever by showing that the point at infinity is an obstruction for local embedding at all point.
June 7, 2012
11:00 AM
AP&M 7321
****************************