Projective geometry for blueprints

Details Projective geometry for blueprints Projective geometry for blueprints

2012-03-08

arxiv.org/abs/1203.1665v1

Mathematics

Algebraic Geometry

5 pages, 1 figure

Scientific paper

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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