Galois Lattices and Strongly Divisible Lattices in the Unipotent Case

2013/05/13 by Gao, Hui · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1305.2664

Abstract

Let p be a prime. We prove that there is an anti-equivalence between the category of unipotent strongly divisible lattices of weight p-1 and the category of Galois stable Z_p lattices in unipotent semi-stable representations with Hodge-Tate weights in 0, ..., p-1. This completes the last remaining piece of Breuil's Conjecture(Conjecture 2.2.6 in [Bre02]).

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