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Algebra Seminar

Gonality of complete intersection curves

Brooke Ullery, Harvard

Location:  Hill 525
Date & time: Wednesday, 13 December 2017 at 2:00PM - 3:00PM

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 P1 arises in this way.

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