Projective geometry for blueprints
Algebraic Geometry
2012-03-09 v1 Commutative Algebra
Number Theory
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).
Cite
@article{arxiv.1203.1665,
title = {Projective geometry for blueprints},
author = {Javier López Peña and Oliver Lorscheid},
journal= {arXiv preprint arXiv:1203.1665},
year = {2012}
}
Comments
5 pages, 1 figure