Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\)
DOI10.1016/j.bulsci.2023.103293zbMath1529.14003arXiv2205.01391OpenAlexW4380319967MaRDI QIDQ6176382
Caterina Consani, Alain Connes
Publication date: 22 August 2023
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.01391
Riemann-Rochderived algebraic geometryadelesabsolute algebraic geometryArakelov compactificationSegal's gamma-ring
Riemann-Roch theorems (14C40) (K)-theory and homology; cyclic homology and cohomology (19D55) Adèle rings and groups (11R56) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic functions and function fields in algebraic geometry (14H05) Witt vectors and related rings (13F35) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)
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- $\overline{Spec\mathbb Z}$ and the Gromov norm
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- Effectivity of Arakelov divisors and the theta divisor of a number field
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