Cox rings of extremal rational elliptic surfaces

Artebani, Michela; Garbagnati, Alice; Laface, Antonio

doi:10.1090/tran/6378

Cox rings of extremal rational elliptic surfaces
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by Michela Artebani, Alice Garbagnati and Antonio Laface PDF

Trans. Amer. Math. Soc. 368 (2016), 1735-1757 Request permission

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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