Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 517525 (2008) 

$\F_1$schemes and toric varietiesAnton DeitmarMathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, Germany, email: deitmar@unituebingen.deAbstract: In this paper it is shown that integral $\F_1$schemes of finite type are essentially the same as toric varieties. A description of the $\F_1$zeta function in terms of toric geometry is given. Etale morphisms and universal coverings are introduced. Keywords: F1schemes, toric varieties, field of one element Classification (MSC2000): 14A15, 11G25, 14L32, 14M32 Full text of the article:
Electronic version published on: 18 Sep 2008. This page was last modified: 28 Jan 2013.
© 2008 Heldermann Verlag
