Jack Huizenga : Homogeneous interpolation and moduli spaces of vector bundles

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

Oct. 31, 2022, 3 p.m.

In

636 SEO

Abstract

We investigate certain moduli spaces of rank 2 vector bundles on blowups of the projective plane at 10 or more very general points. Assuming the SHGH conjecture, we show that as the polarization varies these spaces can have arbitrarily many components of arbitrarily high dimensions. In the case of 10 points, the components correspond to continued fractions of the square root of 10. This is joint work with Izzet Coskun.