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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