##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Brooke Ullery

#### Harvard University

## Gonality of complete intersection curves

##### Abstract:

The gonality of a smooth projective curve is the smallest degree of a map from the curve to the projective line. If a curve is embedded in projective space, it is natural to ask whether the gonality is related to the embedding. In my talk, I will discuss recent work with James Hotchkiss. Our main result is that, under mild degree hypotheses, the gonality of a complete intersection curve in projective space is computed by projection from a codimension 2 linear space, and any minimal degree branched covering of $P^1$ arises in this way.

Host: David Stapleton

### March 9, 2018

### 2:00 PM

### AP&M 7321

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