F1-schemes and toric varieties

Anton Deitmar

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arXiv · math/0608179

F1-schemes and toric varieties

Anton Deitmar

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Abstract

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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Anton Deitmar. 2014-09-03. F1-schemes and toric varieties. https://arxiv.org/abs/math/0608179

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