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 us to provide a presentation of the Cox ring in most cases
Cox rings of extremal rational elliptic surfaces / M. Artebani, A. Garbagnati, A. Laface. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 368:3(2016 Mar), pp. 1735-1757. [10.1090/tran/6378]
Cox rings of extremal rational elliptic surfaces
A. Garbagnati;
2016
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 us to provide a presentation of the Cox ring in most cases
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