BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Explicit coverings of K3 surfaces by the square of a curve Logan, Adam

Description

Paranjape showed that K3 surfaces that are double covers of P^2 branched along six lines are dominated by the square of a curve of genus 5. In this talk, we describe a somewhat analogous construction and use it to show that K3 surfaces in P^4 with 15 nodes are dominated by the square of a curve of genus 7. We will explain a birational equivalence between the moduli space of a related family of K3 surfaces and a moduli space of covers of rational curves with additional data. This is joint work with Colin Ingalls and Owen Patashnick.

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International