On the metaphysics of \(\mathbb{F}_1\)
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Publication:6631936
DOI10.4171/rlm/1036MaRDI QIDQ6631936
Caterina Consani, Alain Connes
Publication date: 3 November 2024
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Riemann-Roch theorems (14C40) Adèle rings and groups (11R56) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic functions and function fields in algebraic geometry (14H05)
Cites Work
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- The local structure of algebraic K-theory
- On a representation of the idele class group related to primes and zeros of \(L\)-functions
- On absolute algebraic geometry the affine case
- Absolute algebra and Segal's \(\gamma\)-rings: au dessous de \(\overline{\operatorname{Spec}(\mathbb{Z})}\)
- Radix representations of quadratic fields
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
- Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
- Geometry of the scaling site
- Dynamical directions in numeration
- Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
- On the cohomology and K-theory of the general linear groups over a finite field
- Geometry of the arithmetic site
- From monoids to hyperstructures: in search of an absolute arithmetic
- Cyclotomy and analytic geometry over F_1
- On the notion of geometry over 𝔽₁
- Schemes over 𝔽1and zeta functions
- Canonical number systems in imaginary quadratic fields
- A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field
- Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\)
- Riemann-Roch for the ring $\mathbb Z$
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