##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis

## Peter Ebenfelt

#### UCSD

## Proper holomorphic mappings into $\ell$-concave quadric domains in projective space.

##### Abstract:

We will discuss a type of partial rigidity result for proper holomorphic mappings of certain $\ell$-concave domains in projective space into model quadratic $\ell$-concave domains. The main technical result is a degree estimate for proper holomorphic mappings into the model domains, provided that the mappings extend to projective space as rational mappings, and the source domain contains algebraic varieties and has a boundary with low CR complexity.

Host: Jacob Sterbenz

### April 10, 2014

### 1:00 PM

### AP&M 5829

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