DOCUMENTA MATHEMATICA, Vol. 9 (2004), 413-433

Adriano Marmora

Irrégularité et Conducteur de Swan $p$-adiques

Let $V$ be a de-Rham representation of the Galois group of a local field of mixed characteristic $(0,p)$. We relate the Swan conductor of the associated Weil-Deligne representation to the irregularity of the corresponding $p$-adic differential equation.

2000 Mathematics Subject Classification: 11F80,11F85,11S15,12H25

Keywords and Phrases: $p$-adic representation, de-Rham representation, Swan conductor, $p$-adic differential equation, $p$-adic irregularity.

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