Journal article
Parallel weight 2 points on Hilbert modular eigenvarieties and the parity conjecture
- Abstract:
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Let F be a totally real field and let p be an odd prime which is totally split in F. We define and study one-dimensional ‘partial’ eigenvarieties interpolating Hilbert modular forms over F with weight varying only at a single place v above p. For these eigenvarieties, we show that methods developed by Liu, Wan and Xiao apply and deduce that, over a boundary annulus in weight space of sufficiently small radius, the partial eigenvarieties decompose as a disjoint union of components which are fi...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, 439.9KB)
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- Publisher copy:
- 10.1017/fms.2019.23
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Authors
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Forum of Mathematics, Sigma Journal website
- Volume:
- 7
- Article number:
- e27
- Publication date:
- 2019-09-04
- Acceptance date:
- 2019-06-17
- DOI:
- EISSN:
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2050-5094
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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1193797
- Local pid:
- pubs:1193797
- Deposit date:
- 2021-09-03
Terms of use
- Copyright holder:
- Johansson and Newton.
- Copyright date:
- 2019
- Rights statement:
- © The Author(s) 2019. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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