Filtered modules with coefficients
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- by Eknath Ghate and Ariane Mézard PDF
- Trans. Amer. Math. Soc. 361 (2009), 2243-2261 Request permission
Abstract:
We classify the filtered modules with coefficients corresponding to two-dimensional potentially semi-stable $p$-adic representations of the Galois group of $\mathbf {Q}_p$ under some assumptions (e.g., $p$ is odd). We focus on the new features that arise when the coefficients are not necessarily $\mathbf {Q}_p$.References
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Additional Information
- Eknath Ghate
- Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
- Email: eghate@math.tifr.res.in
- Ariane Mézard
- Affiliation: Laboratoire de mathématiques, Faculté des sciences d’Orsay, Université de Paris-Sud 11, 91405 Orsay Cedex, France
- Address at time of publication: Laboratoire de Mathématiques de Versailles, Université de Versailles Saint-Quentin, 45 avenue des États Unis, 78035 Versailles, France
- MR Author ID: 646791
- Email: mezard@math.uvsq.fr
- Received by editor(s): May 8, 2006
- Published electronically: December 15, 2008
- © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 361 (2009), 2243-2261
- MSC (2000): Primary 11F80
- DOI: https://doi.org/10.1090/S0002-9947-08-04829-0
- MathSciNet review: 2471916