The moduli space of rational elliptic surfaces of index two

Abstract: Elliptic surfaces are ubiquitous in Mathematics. Examples include Enriques surfaces, Dolgachev surfaces, and all surfaces of Kodaira dimension one. In this talk we will focus on those elliptic surfaces which are rational and that have exactly one multiple fiber of multiplicity two. These are called rational elliptic surfaces of index two. Our goal will be to describe how to construct their moduli space when the choice of a bisection is part of the classification problem. This is based on work in progress joint with Rick Miranda.

algebraic geometry

Audience: researchers in the topic

Algebraic Geometry NorthEastern Series (AGNES)