From monoids to hyperstructures: in search of an absolute arithmetic
From MaRDI portal
Publication:2996292
zbMath1234.14002arXiv1006.4810MaRDI QIDQ2996292
Caterina Consani, Alain Connes
Publication date: 6 May 2011
Full work available at URL: https://arxiv.org/abs/1006.4810
(zeta (s)) and (L(s, chi)) (11M06) Hypergroups (20N20) Schemes and morphisms (14A15) Projective incidence groups (51J10)
Related Items (31)
An equivalence between two approaches to limits of local fields ⋮ Hyperstructures of affine algebraic group schemes ⋮ The Connes-Consani plane connection ⋮ Advanced results in enumeration of hyperfields ⋮ Tropical geometry over the tropical hyperfield ⋮ Geometry of the arithmetic site ⋮ \(\mathbb{F}_{1}\) for everyone ⋮ Convolution and concurrency ⋮ Algebraic geometry over hyperrings ⋮ Towards the horizons of Tits's vision: on band schemes, crowds and \(\mathbb{F}_1\)-structures ⋮ The BC-system and \(L\)-functions ⋮ Proto-exact categories of modules over semirings and hyperrings ⋮ BC-system, absolute cyclotomy and the quantized calculus ⋮ Absolute algebra and Segal's \(\gamma\)-rings: au dessous de \(\overline{\operatorname{Spec}(\mathbb{Z})}\) ⋮ Free hypermodules: a categorical approach ⋮ Matroids over partial hyperstructures ⋮ Geometry of hyperfields ⋮ The hyperring of adèle classes ⋮ The arithmetic site ⋮ The Riemann–Roch strategy ⋮ Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields ⋮ Entropy algebras and Birkhoff factorization ⋮ Motivic rhythms ⋮ Unnamed Item ⋮ Association schemes and hypergroups ⋮ Weil positivity and trace formula the Archimedean place ⋮ An arithmetic site at the complex place ⋮ Extension of elliptic curves on Krasner hyperfields ⋮ Picard groups for tropical toric schemes ⋮ Algebras with a negation map ⋮ $\mathcal{T}$-semiring pairs
This page was built for publication: From monoids to hyperstructures: in search of an absolute arithmetic
