un 2 00 7 Some remarks on F 1 - schemes
نویسنده
چکیده
This paper contains a loose collection of remarks on F1-schemes. Etale morphisms and universal coverings are introduced. The relation to toric varieties, at least for integral schemes, is clarified.
منابع مشابه
2 2 M ay 2 00 6 Remarks on zeta functions and K - theory over F 1
We show that the notion of zeta functions over the field of one element F1, as given in special cases by Soulé, extends naturally to all F1-schemes as defined by the author in an earlier paper. We further give two constructions of K-theory for affine schemes or F1-rings, we show that these coincide in the group case, but not in general.
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This paper contains a loose collection of remarks on F1-schemes. Etale morphisms and universal coverings are introduced. The relation to toric varieties, at least for integral schemes, is clarified.
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