The moduli space of rational elliptic surfaces of index two

Abstract

In this paper we construct a moduli space for marked rational elliptic surfaces of index two as a non-complete toric variety of dimension nine. We also construct compactifications of this moduli space, which are obtained as quotients of ${\mathbb{A}}^{12}$ by an action of ${\mathbb{G}}_m^3$.

17 pages, 2 figures

References in corpus (1)

• Stability of pencils of plane sextics and Halphen pencils of index two