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arxiv: math/0608179 · v10 · pith:TNEBIOEUnew · submitted 2006-08-07 · 🧮 math.NT

F1-schemes and toric varieties

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keywords toricf1-schemesvarietiescoveringsetaleintegralintroducedmorphisms
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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.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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