Funke, J. (2002) 'Heegner divisors and non-holomorphic modular forms.', Compositio mathematica., 133 (3). pp. 289-321.
We consider an embedded modular curve in a locally symmetric space M attached to an orthogonal group of signature (p, 2) and associate to it a nonholomorphic elliptic modular form by integrating a certain theta function over the modular curve. We compute the Fourier expansion and identify the generating series of the (suitably defined) intersection numbers of the Heegner divisors in M with the modular curve as the holomorphic part of the modular form. This recovers and generalizes parts of work of Hirzebruch and Zagier.
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|Publisher Web site:||http://dx.doi.org/10.1023/A:1020002121978|
|Record Created:||23 May 2008|
|Last Modified:||15 Feb 2010 12:54|
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