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| arXiv:1203.1665 |
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Title: Projective geometry for blueprints
Authors: Javier López Peña, Oliver Lorscheid
Categories: math.AG Algebraic Geometry (math.AC Commutative Algebra; math.NT Number Theory)
Comments: 5 pages, 1 figure
MSC: 14N05, 14G15, 14T05
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).
Owner: Javier L\'opez Pe\~na
Version 1: Thu, 8 Mar 2012 00:16:41 GMT
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