Singular moduli and the arakelov intersection

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Abstract

The values of the modular y-function at imaginary quadratic arguments in the upper half plane are usually called singular moduli. In this paper, we use the Arakelov intersection to give the prime factorizations of a certain combination of singular moduli, coming from the Hecke correspondence. Such a result may be considered as a degenerate one of Gross and Zagier on Heegner points and derivatives of L-series, and is parellel to the result of Gross and Zagier on singular moduli.

Original languageEnglish
Pages (from-to)345-356
Number of pages12
JournalTohoku Mathematical Journal
Volume47
Issue number3
DOIs
Publication statusPublished - Jan 1 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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