Arakelov Geometry of Cuntz–Pimsner Algebras
Abstract
ABSTRACT We use ‐theory of the ‐algebras to study the Arakelov geometry, i.e., a compactification of the arithmetic schemes . In particular, it is proved that the Picard group of is isomorphic to the ‐group of a Cuntz–Pimsner algebra associated with . We apply this result to the finiteness problem for the algebraic varieties over number fields.
Fields of Study & Subjects
Advanced Topics in Algebra
Advanced Operator Algebra Research
Matrix Theory and Algorithms
Publication details
- Journal / source
- Mathematische Nachrichten
- Volume
- 299
- Issue
- 7
- Pages
- 1549–1555
- Publication date
- 7 May 2026
- Language
- EN