F1=schemes and toric vaieties

Details F1=schemes and toric vaieties F1=schemes and toric vaieties

2006-08-07

arxiv.org/abs/math/0608179v9

Mathematics

Number Theory

Scientific paper

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.In this paper it is shown that integral F1-schemes of finite type are essentially the same as toric varieties. A description of the F1-zeta function in terms of toric geometry is given. Etale morphisms and universal coverings are introduced.

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