Cox rings of extremal rational elliptic surfaces

Abstract

In this paper we determine a minimal set of generators for the Cox rings of extremal rational elliptic surfaces. Moreover, we develop a technique for computing the ideal of relations between them which allows, in all but three cases, to provide a presentation of the Cox ring.

23 pages

References in corpus (2)

• On Chow quotients of torus actions
• On images of Mori dream spaces