Algebraic Geometry Seminar
Jack Huizenga
Penn State
Homogeneous interpolation and moduli spaces of vector bundles
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.
Monday October 31, 2022 at 3:00 PM in 636 SEO