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Projective geometry for blueprints

Peña, JL; Lorscheid, O; (2012) Projective geometry for blueprints.

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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).

Title:Projective geometry for blueprints
Additional information:5 pages, 1 figure
Keywords:math.AG, math.AG, math.AC, math.NT, 14N05, 14G15, 14T05
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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