Birkbeck, C;
(2019)
The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms.
International Journal of Number Theory
, 15
(3)
pp. 479-504.
10.1142/S1793042119500258.
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Abstract
We use results by Chenevier to interpolate the classical Jacquet–Langlands correspondence for Hilbert modular forms, which gives us an extension of Chenevier’s results to totally real fields. From this we obtain an isomorphism between eigenvarieties attached to Hilbert modular forms and those attached to modular forms on a totally definite quaternion algebra over a totally real field of even degree.
| Type: | Article |
|---|---|
| Title: | The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1142/S1793042119500258 |
| Publisher version: | http://doi.org/10.1142/S1793042119500258 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Hilbert,overconvergent, Langland, seigenvariety |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10055578 |
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