BIRS Workshop Lecture Videos
Explicit coverings of K3 surfaces by the square of a curve Logan, Adam
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.
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