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Spectral triples in Arakelov geometry

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Publication:1851436
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DOI10.1016/S1631-073X(02)02569-4zbMath1017.14009MaRDI QIDQ1851436

Matilde Marcolli, Caterina Consani

Publication date: 16 June 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

spectral triplearithmetic surface


Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40)




Cites Work

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  • Modules de Hodge polarisables. (Polarisable Hodge modules)
  • A class of C*-algebras and topological Markov chains
  • Hausdorff dimension of quasi-circles
  • Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry
  • On the \(\Gamma\)-factors attached to motives
  • Orbit equivalence, flow equivalence and ordered cohomology
  • Noncommutative geometry, dynamics, and \(\infty\)-adic Arakelov geometry
  • Geometry from the spectral point of view
  • C*-Algebras from Smale Spaces




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