A Note on Potential Diagonalizability of Crystalline Representations

Details A Note on Potential Diagonalizability of Crystalline Representations A Note on Potential Diagonalizability of Crystalline Representations

2012-04-20

arxiv.org/abs/1204.4704v1

Mathematics

Number Theory

6 pages

Scientific paper

Let K_0 be a finite unramified extension of Q_p. We show that all crystalline
representations of G_{K_0} (the absolute Galois group of K_0) with Hodge-Tate
weights in {0, ..., p-1} are potentially diagonalizable.

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