scientific article

zbMath0731.14017MaRDI QIDQ3356431

Jean-Benoît Bost, Laurent Moret-Bailly, Jean-François Mestre

Publication date: 1990

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

period integralstheta constantsarithmetic surfacesBogomolov-Miyaoka-Yau inequalityDeligne's pairingGreen-Arakelov function

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Theta functions and abelian varieties (14K25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Algebraic moduli of abelian varieties, classification (14K10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (11)

Explicit Mumford isomorphism for hyperelliptic curves ⋮ New explicit formulas for Faltings' delta-invariant ⋮ Bad reduction of genus curves with CM jacobian varieties ⋮ Zhang-Kawazumi invariants and superstring amplitudes ⋮ Effective bounds for Faltings's delta function ⋮ Self-intersection of the relative dualizing sheaf on modular curves \(X_{ 1 }(N)\) ⋮ Higher genus modular graph functions, string invariants, and their exact asymptotics ⋮ A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces ⋮ The Chowla–Selberg formula for abelian CM fields and Faltings heights ⋮ Arakelov computations in genus 3 curves ⋮ Décompositions en hauteurs locales

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