Two extremal elliptic fibrations on Jacobian Kummer surfaces
In this note one studies the minimal resolution \(\widehat F\) of a quartic \(F\) in \({\mathbb{P}}^3\) with \(16\) nodes. The title of the paper is motivated by the fact that \(\widehat F\) is isomorphic to the Kummer surface of the Jacobian of a certain genus 2 curve. For Picard number of \(\widehat F =16\) (this happens generically) one shows that \(\widehat F\) admits an irreducible elliptic fibration and it admits also a most reducible elliptic fibration.
scientific article; zbMATH DE number 980737