Professor Jens Funke jens.funke@durham.ac.uk
Professor
Heegner divisors and non-holomorphic modular forms
Funke, J.
Authors
Abstract
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.
Citation
Funke, J. (2002). Heegner divisors and non-holomorphic modular forms. Compositio Mathematica, 133(3), 289-321. https://doi.org/10.1023/a%3A1020002121978
Journal Article Type | Article |
---|---|
Publication Date | Sep 1, 2002 |
Deposit Date | May 23, 2008 |
Publicly Available Date | Mar 29, 2024 |
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 |
DOI | https://doi.org/10.1023/a%3A1020002121978 |
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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) http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=309553
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