Graduate Algebraic Geometry Seminar
Alex Stathis
UIC
Brill-Noether Loci on the Projective Plane and an Intersection Number
Abstract: We'll begin by recalling the basic properties of the Hilbert scheme of points in the projective plane, and then discuss its Picard group and its generators. We'll then define Brill-Noether divisors and use these to compute some top intersection numbers of the generators. We'll also briefly discuss volumes of divisors and their relation to top intersection numbers. If we have time, we'll discuss some of interesting geometric observations we can make using these numbers.
Wednesday August 27, 2014 at 2:00 PM in SEO 427