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Projective geometry for blueprints (1203.1665v1)
Published 8 Mar 2012 in math.AG, math.AC, and math.NT
Abstract: In this note, we generalize the Proj-construction from usual schemes to blue schemes. This yields the definition of projective space and projective varieties over a blueprint. In particular, it is possible to descend closed subvarieties of a projective space to a canonical F_1-model. We discuss this explicitly in case of the Grassmannian Gr(2,4).
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