Schemes over 𝔽1and zeta functions
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Publication:3059682
DOI10.1112/S0010437X09004692zbMath1201.14001arXiv0903.2024OpenAlexW3098984909MaRDI QIDQ3059682
Caterina Consani, Alain Connes
Publication date: 26 November 2010
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.2024
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Schemes and morphisms (14A15)
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Cites Work
- On a representation of the idele class group related to primes and zeros of \(L\)-functions
- Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\)
- Fun with \(\mathbb F_1\)
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
- Noncommutative geometry and motives: the thermodynamics of endomotives
- Toric Singularities
- Au-dessous de Specℤ
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