Cox rings of extremal rational elliptic surfaces

2013/02/18 by Artebani, Michela, Garbagnati, Alice, Laface, Antonio
#14C20 #14J26 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.4361

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.

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