Wednesday October 4th, 2023 | |
| Time: | 4:00 PM - 5:00 PM |
| Title: | Brill-Noether loci and degree of irrationality of surfaces |
| Speaker: | Federico Moretti, Stony Brook University |
| Location: | Math P-131 |
| Abstract: | |
| Given a variety of dimension n, I will study rational maps to a projective space of the same dimension using the associated kernel (syzygy) sheaf. I will mainly focus on the case of K3 surfaces with Picard rank 1. In this context, I will explain how this perspective allows us to show that maps of degree at most d, induced by the primitive linear system, move in families. I will then study and characterize, in some cases, projections of minimal degree for primitively polarized K3 surfaces up to genus 14. This can be seen as a first step towards computing the degree of irrationality of these surfaces. This is a joint work with Andrès Rojas. | |