Néron-Tate heights on algebraic curves and subgroups of the modular group

DOI10.1007/s00229-004-0529-yzbMath1074.14023OpenAlexW1607954655MaRDI QIDQ1777261

Ulf Kühn

Publication date: 13 May 2005

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

Full work available at URL: https://doi.org/10.1007/s00229-004-0529-y

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

The unbounded denominators conjecture for the noncongruence subgroups of index 7 ⋮ The Eisenstein cycles and Manin-Drinfeld properties ⋮ Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\) ⋮ Arithmetic Siegel-Weil formula on \(X_{0}(N)\) ⋮ Twisted arithmetic Siegel Weil formula on \(X_{0}(N)\)

Cites Work

• Calculus on arithmetic surfaces
• Heegner points and derivatives of \(L\)-series
• The Manin-Drinfeld theorem and Ramanujan sums
• Some coverings defined over \(\mathbb{Q}\)
• Generalized arithmetic intersection numbers
• On the scattering matrix for the Eisenstein series for the Hecke congruence groups
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