Absolute Arithmetic and $\mathbb F_1$-Geometry


Book details

The Weyl functor. Introduction to Absolute Arithmetic
Koen Thas
pp. 3–36
Abstract | Full-Text PDF (711 KB)

Belian categories
Anton Deitmar
pp. 39–80
Abstract | Full-Text PDF (623 KB)

The combinatorial-motivic nature of $\mathbb F_1$-schemes
Koen Thas
pp. 83–159
Abstract | Full-Text PDF (907 KB)

A blueprinted view on $\mathbb F_1$-geometry
Oliver Lorscheid
pp. 161–219
Abstract | Full-Text PDF (836 KB)

Absolute geometry and the Habiro topology
Lieven Le Bruyn
pp. 221–271
Abstract | Full-Text PDF (2873 KB)

Witt vectors, semirings, and total positivity
James Borger
pp. 273–329
Abstract | Full-Text PDF (775 KB)

Moduli operad over $\mathbb F_1$
Yuri I. Manin and Matilde Marcolli
pp. 331–361
Abstract | Full-Text PDF (591 KB)

A taste of Weil theory in characteristic one
Koen Thas
pp. 365–386
Abstract | Full-Text PDF (838 KB)

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