OSU Mathematics Seminars and Colloquia
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Tue, Oct 21, 2025
Algebraic Geometry Seminar
3:00 PM
MSCS 514
Pre-Talk III: Exploring the effective cones of $\mathbb{P}^{2 [n]}$
Anand Patel, Oklahoma State University
[Abstract] [PDF]
Abstract: Last time we introduced the Hilbert schemes of points on the plane, and we established that its Picard group is generated by two classes, $H$ and $B$. This time, by looking at small $n$ examples, we will try to establish the extremal rays of the effective cone. This will reveal the importance of the concept of interpolation.
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