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Heegner divisors and non-holomorphic modular forms.

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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Record Created:23 May 2008
Last Modified:15 Feb 2010 12:54

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