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Algebraic Geometry Seminar - Brooke Ullery

Brooke Ullery
November 27, 2018
3:00 pm - 4:00 pm
Math Tower 154

Title: Measures of irrationality for algebraic varieties

Speaker: Brooke Ullery (Harvard University)

Abstract: The gonality of a smooth projective curve is the smallest degree of a map from the curve to the projective line. There are a few different definitions that attempt to generalize the notion of gonality to higher dimensional varieties. The intuition is that the higher these numbers, the further the variety is from being rational. We will discuss these measures of irrationality and various methods of calculating and bounding them. We’ll mainly focus on the examples of hypersurfaces and, more generally, complete intersections in projective space.

Seminar URL: https://research.math.osu.edu/agseminar/

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Seminar - Algebraic Geometry