Non-Additive Prolegomena (to any future Arithmetic that will be able to present itself as a Geometry)

2009/11/18 by Shai Haran, Haran, Shai M. J. · 3 citations
Mathematics · #1440 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0911.3522

openalex publication_date 2009/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a language for geometry which makes curves and number fields look alike.

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• On the Hall algebra of coherent sheaves on P¹ over F₁
• The geometry of blueprints. Part I: Algebraic background and scheme theory
• Representations of Quivers over F1

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