arXiv math/06081792006-08math.NT

F1-schemes and toric varieties

Anton Deitmar

发表信息：: Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 517-525 (2008)

英文摘要：

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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