##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis Seminar

## Atsushi Hayashimoto

#### University of Nagano, Japan

## A generalization of variable-splitting theorems and Segre variety mapping

##### Abstract:

First of all, I will explain our variable-splitting theorems (J. Korean Math. Soc. 37 (2000), no. 2, 245--251 and Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 2 (2003), no. 3, 433--448). Then I will formulate a generalization of our theorems as a parameter version. Since I believe that Segre variety mapping is a useful tool to attack the problem, I will give you an another proof of Kim-Zaitsev-A.H. theorem, which appears in above second mentioned paper.

Hosts: Salah Baouendi and Peter Ebenfelt

### October 14, 2008

### 10:30 AM

### AP&M 6218

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