The classes of singular moduli in the generalized Jacobian. (English) Zbl 1317.11047

Gross, Benedict H.

Faber, Carel (ed.) et al., Geometry and arithmetic. Based on the conference, Island of Schiermonnikoog, Netherlands, September 2010. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-119-4/hbk). EMS Series of Congress Reports, 137-141 (2012).

Summary: We reinterpret some results of some D. Zagier on the traces of singular moduli, in terms of the generalized Jacobian of the modular curve of level 1, respect to the divisor \(2(\infty)\).
For the entire collection see [Zbl 1253.00019].

MSC:

11F37	Forms of half-integer weight; nonholomorphic modular forms
11G18	Arithmetic aspects of modular and Shimura varieties