Singular moduli and the Arakelov intersection (Q1902881)
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scientific article; zbMATH DE number 822823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular moduli and the Arakelov intersection |
scientific article; zbMATH DE number 822823 |
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Singular moduli and the Arakelov intersection (English)
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24 January 1996
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The author uses the Arakelov intersection on the modular curve \(X_0 (1)\) to give the precise values and the prime factorisation of a certain combination of singular moduli coming from the Hecke correspondence (theorems 1 and 2). The results (but not the methods) are parallel to those of \textit{B. H. Gross} and \textit{D. B. Zagier} [J. Reine Angew. Math. 355, 191-220 (1985; Zbl 0545.10015)].
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Arakelov intersection
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modular curve
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singular moduli
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0.90104544
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0.9003713
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0.89891964
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0.8980913
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