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arxiv: 1409.0799 · v3 · pith:HWDZ2S3Xnew · submitted 2014-09-02 · 🧮 math.AG

Cox rings of cubic surfaces and Fano threefolds

classification 🧮 math.AG
keywords cubicfanopointsringssurfacesblowconfigurationsdetermine
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We determine the Cox rings of the minimal resolutions of cubic surfaces with at most rational double points, of blow ups of the projective plane at non-general configurations of six points and of three dimensional smooth Fano varieties of Picard numbers one and two.

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