Geometry over F1

2017/09/18 by Haran, Shai
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.05831

Abstract

We give (two) non additive languages for geometry via simple generalisations of commutative rings.

Related

• Non-Additive Geometry and Frobenius Correspondences
• Non Additive Geometry
• Non-Additive Prolegomena (to any future Arithmetic that will be able to present itself as a Geometry)
• Absolute geometry and the Habiro topology
• Arithmetic Geometry of Non-Commutative Spaces with Large Centres