Artículo

Berger, T.; Dembélé, L.; Pacetti, A.; Sengun, M.H. "Theta lifts of Bianchi modular forms and applications to paramodularity" (2014) Journal of the London Mathematical Society. 92(2):353-370
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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. 2015 London Mathematical Society.

Registro:

Documento: Artículo
Título:Theta lifts of Bianchi modular forms and applications to paramodularity
Autor:Berger, T.; Dembélé, L.; Pacetti, A.; Sengun, M.H.
Filiación:School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, United Kingdom
Mathematics Institute, University of Warwick, Zeeman Building, Coventry, CV4 7AL, United Kingdom
Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, MAS, Buenos Aires, 1428, Argentina
Año:2014
Volumen:92
Número:2
Página de inicio:353
Página de fin:370
DOI: http://dx.doi.org/10.1112/jlms/jdv023
Título revista:Journal of the London Mathematical Society
Título revista abreviado:J. Lond. Math. Soc.
ISSN:00246107
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246107_v92_n2_p353_Berger

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Citas:

---------- APA ----------
Berger, T., Dembélé, L., Pacetti, A. & Sengun, M.H. (2014) . Theta lifts of Bianchi modular forms and applications to paramodularity. Journal of the London Mathematical Society, 92(2), 353-370.
http://dx.doi.org/10.1112/jlms/jdv023
---------- CHICAGO ----------
Berger, T., Dembélé, L., Pacetti, A., Sengun, M.H. "Theta lifts of Bianchi modular forms and applications to paramodularity" . Journal of the London Mathematical Society 92, no. 2 (2014) : 353-370.
http://dx.doi.org/10.1112/jlms/jdv023
---------- MLA ----------
Berger, T., Dembélé, L., Pacetti, A., Sengun, M.H. "Theta lifts of Bianchi modular forms and applications to paramodularity" . Journal of the London Mathematical Society, vol. 92, no. 2, 2014, pp. 353-370.
http://dx.doi.org/10.1112/jlms/jdv023
---------- VANCOUVER ----------
Berger, T., Dembélé, L., Pacetti, A., Sengun, M.H. Theta lifts of Bianchi modular forms and applications to paramodularity. J. Lond. Math. Soc. 2014;92(2):353-370.
http://dx.doi.org/10.1112/jlms/jdv023