Speaker:
Ming Xiao
Institution:
Rutgers University
Time:
Thursday, April 30, 2015 - 4:00pm to 5:00pm
Host:
Location:
RH 306
We study the holomorphic embedding problem from a compact real algebraic hypersurface into a shpere. By our theorem, for any integer $N$, there is a family of compact real algebraic strongly pseudoconvex hypersurfaces in $C^2$ , none of which can be locally holomorphically embedded into the unit sphere in $C^N$. This shows that the Whitney (or Remmert) type embedding theorem in differential topology(or in the Stein space theory, respectively) does not hold in the setting above. This is a joint work with Xiaojun Huang and Xiaoshan Li.