Irregularity and $p$-adic Swan conductor

Adriano Marmora

doi:10.4171/dm/172

JournalsdmVol. 9pp. 413–433

Irregularity and $p$ -adic Swan conductor

Adriano Marmora
LAGA, Institut Galilée Université Paris 13 93430 Villetaneuse (France

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Abstract

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.

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Adriano Marmora, Irregularity and $p$ -adic Swan conductor. Doc. Math. 9 (2004), pp. 413–433

DOI 10.4171/DM/172