##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry

## Imre Patyi

#### UCSD

## Complex submanifolds in Hilbert space

##### Abstract:

We show that any complex submanifold in Hilbert space defined by global equations has a basis of pseudoconvex open neighborhoods, that holomorphic vector bundles are acyclic over smooth complete intersections in Hilbert space, and that such complete intersections are holomorphic retracts of some pseudoconvex open neighborhoods.

Host:

### April 28, 2004

### 4:00 PM

### AP&M 6218

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