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arxiv: 1302.4361 · v1 · pith:PANIKK4Pnew · submitted 2013-02-18 · 🧮 math.AG

Cox rings of extremal rational elliptic surfaces

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keywords ellipticextremalrationalringssurfacesallowscasescomputing
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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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