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On lattices in semi-stable representations: a proof of a conjecture of Breuil
- Part of
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- Journal:
- Compositio Mathematica / Volume 144 / Issue 1 / January 2008
- Published online by Cambridge University Press:
- 01 January 2008, pp. 61-88
- Print publication:
- January 2008
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- Article
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For p≥3 an odd prime and a nonnegative integer r≤p−2, we prove a conjecture of Breuil on lattices in semi-stable representations, that is, the anti-equivalence of categories between the category of strongly divisible lattices of weight r and the category of Galois stable
-lattices in semi-stable p-adic Galois representations with Hodge–Tate weights in {0,…,r}.
-lattices in semi-stable 