affine and projective schemes over $\mathbf{F}_1$? - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T03:08:20Z http://mathoverflow.net/feeds/question/96438 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/96438/affine-and-projective-schemes-over-mathbff-1 affine and projective schemes over $\mathbf{F}_1$? Timo Keller 2012-05-09T11:47:45Z 2012-05-09T12:27:04Z <p>What should affine and projective schemes over $\mathbf{F}_1$ be?</p> http://mathoverflow.net/questions/96438/affine-and-projective-schemes-over-mathbff-1/96440#96440 Answer by Tom De Medts for affine and projective schemes over $\mathbf{F}_1$? Tom De Medts 2012-05-09T12:27:04Z 2012-05-09T12:27:04Z <p>Your question sounds rather vague, but in any case, you might be interested in the paper "On the notion of geometry over $\mathbb{F}_1$" by Alain Connes and Caterina Consani, available on the <a href="http://arxiv.org/abs/0809.2926" rel="nofollow">arXiv</a> (or on Connes' homepage <a href="http://www.alainconnes.org" rel="nofollow">http://www.alainconnes.org</a>).</p>