Geometry and Arithmetic

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pp: 137–141

DOI: 10.4171/119-1/9

The classes of singular moduli in the generalized Jacobian

Benedict H. Gross[1]

(1) Harvard University, Cambridge, USA

We reinterpret some results of D. Zagier on the traces of singular moduli, in terms of the generalized Jacobian of the modular curve of level 1, with respect to the divisor 2$(\infty)$.

Keywords: Singular moduli, generalized Jacobian, Heegner points