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Heegner divisors and non-holomorphic modular forms

Funke, J.

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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.


Funke, J. (2002). Heegner divisors and non-holomorphic modular forms. Compositio Mathematica, 133(3), 289-321.

Journal Article Type Article
Publication Date Sep 1, 2002
Deposit Date May 23, 2008
Publicly Available Date May 6, 2014
Journal Compositio Mathematica
Print ISSN 0010-437X
Electronic ISSN 1570-5846
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 133
Issue 3
Pages 289-321


Accepted Journal Article (323 Kb)

Copyright Statement
© 2002 Kluwer Academic Publishers. This paper has been published in a revised form subsequent to editorial input by Cambridge University Press in 'Compositio Mathematica' (133: 3 (2002) 289-321)

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