The Chowla–Selberg formula for abelian CM fields and Faltings heights

DOI10.1112/S0010437X15007629zbMath1415.11076MaRDI QIDQ2805048

Adrian Barquero-Sanchez, Riad Masri

Publication date: 9 May 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Faltings heightChowla-Selberg formulaCM pointHilbert modular function

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

CM fields of dihedral type and the Colmez conjecture ⋮ The Chowla-Selberg formula for quartic Abelian CM fields ⋮ An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields ⋮ On the Colmez conjecture for non-abelian CM fields

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