Non-Additive Prolegomena (to any future Arithmetic that will be able to present itself as a Geometry)
arXiv:0911.3522
Abstract
We give a language for geometry which makes curves and number fields look alike.
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- Representations of Quivers over F1
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- Quasicoherent sheaves on projective schemes over F_1
- The Hopf algebra of skew shapes, torsion sheaves on A^n/F_1, and ideals in Hall algebras of monoid representations