A note on reductions of $2$-dimensional crystalline Galois representations

DOI10.1090/S0002-9939-2014-12163-0zbMath1309.11047arXiv1202.5711MaRDI QIDQ3190375

Gerasimos Dousmanis

Publication date: 17 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5711

zbMATH Keywords

Wach modulescrystalline Galois representationmodulo \(p\) reduction

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80)

Cites Work

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• On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields
• On reductions of families of crystalline Galois representations
• Construction of some families of 2-dimensional crystalline representations
• Construction of semi-stable \(p\)-adic representations
• A note on lattices in semi-stable representations
• Local constancy for the reduction mod p of 2-dimensional crystalline representations
• Rank two filtered $(\varphi ,N)$-modules with Galois descent data and coefficients
• Limites de représentations cristallines
• The Buzzard–Diamond–Jarvis conjecture for unitary groups

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