Algebraic Geometry Seminar
Eric Larson
Brown University
THE SEMINAR IS CANCELLED
Abstract: By Bezout's theorem, a space curve of degree d intersects a quadric Q in 2d points. The dimensions of the Hilbert schemes of Brill--Noether space curves of degree d and genus g, and of 2d points on Q, are both of dimension 4d. It is therefore natural to expect that intersecting with a quadric induces an etale map between these Hilbert schemes. In characteristic zero, this is the case with exactly 6 exceptions. This talk will focus on understanding what happens in characteristic 2, and in particular, why the analogous statement fails in a dramatic way.
Friday January 19, 2024 at 11:00 AM in 636 SEO