UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD $p$ OF WEIGHT 1. (23rd March 2020)
- Record Type:
- Journal Article
- Title:
- UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD $p$ OF WEIGHT 1. (23rd March 2020)
- Main Title:
- UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD $p$ OF WEIGHT 1
- Authors:
- Dimitrov, Mladen
Wiese, Gabor - Abstract:
- Abstract : The main result of this article states that the Galois representation attached to a Hilbert modular eigenform defined over $\overline{\mathbb{F}}_{p}$ of parallel weight 1 and level prime to $p$ is unramified above $p$ . This includes the important case of eigenforms that do not lift to Hilbert modular forms in characteristic 0 of parallel weight 1. The proof is based on the observation that parallel weight 1 forms in characteristic $p$ embed into the ordinary part of parallel weight $p$ forms in two different ways per prime dividing $p$, namely via 'partial' Frobenius operators.
- Is Part Of:
- Journal of the Institute of Mathematics of Jussieu. Volume 19:Number 2(2020)
- Journal:
- Journal of the Institute of Mathematics of Jussieu
- Issue:
- Volume 19:Number 2(2020)
- Issue Display:
- Volume 19, Issue 2 (2020)
- Year:
- 2020
- Volume:
- 19
- Issue:
- 2
- Issue Sort Value:
- 2020-0019-0002-0000
- Page Start:
- 281
- Page End:
- 306
- Publication Date:
- 2020-03-23
- Subjects:
- 11F80, -- 11F41, -- 11F33
Hilbert modular forms modulo p, -- weight one, -- Galois representations
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=JMJ ↗
- DOI:
- 10.1017/S1474748018000026 ↗
- Languages:
- English
- ISSNs:
- 1474-7480
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 15280.xml