November 19, 2024
10:20 am
-
11:15 am
Math Tower (MW) 154
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2024-11-19 11:20:00
2024-11-19 12:15:00
Algebraic Geometry Seminar - Federico Moretti
Federico MorettiStony Brook UniversityTitleOn the degree of irrationality of low genus K3 surfacesAbstractGiven 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.For More Information About the Seminar
Math Tower (MW) 154
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2024-11-19 10:20:00
2024-11-19 11:15:00
Algebraic Geometry Seminar - Federico Moretti
Federico MorettiStony Brook UniversityTitleOn the degree of irrationality of low genus K3 surfacesAbstractGiven 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.For More Information About the Seminar
Math Tower (MW) 154
America/New_York
public
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.
