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Algebraic Geometry Seminar - Federico Moretti

Federico Moretti
Tue, November 19, 2024
10:20 am - 11:15 am
Math Tower (MW) 154

Federico Moretti
Stony Brook University

Title
On the degree of irrationality of low genus K3 surfaces

Abstract
Given a projective variety, one can understand rational maps to a projective space of the same dimension in terms of the associated kernel bundle. In the case of K3 surfaces of Picard rank 1, this allows to prove that rational maps of degree at most d (induced by the primitive linear system) move in families. I will explain how, by combining vector bundle techniques with derived category methods, one can study and characterize in many cases rational maps of minimal degree for polarized K3 surfaces of genus up to 14. This can be seen as a preliminary step towards computing the degree of irrationality of these surfaces. Joint work with Andrés Rojas.

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