English

F1-schemes and toric varieties

Number Theory 2014-09-04 v9

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.

Keywords

Cite

@article{arxiv.math/0608179,
  title  = {F1-schemes and toric varieties},
  author = {Anton Deitmar},
  journal= {arXiv preprint arXiv:math/0608179},
  year   = {2014}
}