Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms

Funke, J.; Millson, J.

Abstract

The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the case where the cycles have local coefficients. Now the correspondence will involve vector-valued Siegel modular forms.

Citation

Funke, J., & Millson, J. (2006). Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms. American Journal of Mathematics, 128(4), 899-948. https://doi.org/10.1353/ajm.2006.0032

• Journal Article Type: Article
• Publication Date: Aug 1, 2006
• Deposit Date: Jan 18, 2008
• Publicly Available Date: May 6, 2014
• Journal: American Journal of Mathematics
• Print ISSN: 0002-9327
• Electronic ISSN: 1080-6377
• Publisher: Johns Hopkins University Press
• Peer Reviewed: Peer Reviewed
• Volume: 128
• Issue: 4
• Pages: 899-948
• DOI: https://doi.org/10.1353/ajm.2006.0032
• Public URL: https://durham-repository.worktribe.com/output/1535451