Berger, T. orcid.org/0000-0002-5207-6221, Dembele, L., Pacetti, A. et al. (1 more author) (2015) Theta lifts of Bianchi modular forms and applications to paramodularity. Journal of the London Mathematical Society, 2 (92). pp. 353-370. ISSN 1469-7750
Abstract
We explain how the work of Johnson-Leung and Roberts on lifting Hilbert modular forms for real quadratic fields to Siegel modular forms can be adapted to imaginary quadratic fields. For this, we use archimedean results from Harris, Soudry and Taylor and replace the global arguments of Roberts by the non-vanishing result of Takeda. As an application of our lifting result, we exhibit an abelian surface B defined over Q, which is not a restriction of scalars of an elliptic curve and satisfies the paramodularity Conjecture of Brumer and Kramer.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 London Mathematical Society. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | math.NT |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL (EPSRC) EP/K01174X/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 13 Apr 2016 11:57 |
Last Modified: | 13 Apr 2016 11:57 |
Published Version: | http://dx.doi.org/10.1112/jlms/jdv023 |
Status: | Published |
Publisher: | London Mathematical Society |
Refereed: | Yes |
Identification Number: | 10.1112/jlms/jdv023 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:97959 |