On lattices in semi-stable representations: a proof of a conjecture of Breuil
On lattices in semi-stable representations: a proof of a conjecture of Breuil
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关于半稳定表示中的格：布勒伊猜想的证明
DOI：
10.1112/s0010437x0700317x
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发表时间：
2008
影响因子：
1.8
通讯作者：
Tongyin Liu
中科院分区：
文献类型：
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作者：
Tongyin Liu
对p≥3的奇素数和非负整数r≤p−2，我们证明了Breuil关于半稳定表示格的一个猜想，即在{0，.，r}中，权为r的强可除格范畴与权为Hodge-Tate的半稳定p-adic Galois表示中的Galois稳定$\mathbb {Z}_p$-格范畴之间的范畴反等价性.
Abstract 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 $\mathbb {Z}_p$-lattices in semi-stable p-adic Galois representations with Hodge–Tate weights in {0,…,r}.