Geodesic
Irregularity and $p$-adic Swan conductor
Documenta mathematica, Tome 9 (2004), pp. 413-433
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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.
DOI : 10.4171/dm/172
Classification : 11F80, 11F85, 11S15, 12H25
Mots-clés : p-adic representation, de-Rham representation, swan conductor, p-adic differential equation, p-adic irregularity 
@article{10_4171_dm_172,
     author = {Adriano Marmora},
     title = {Irregularity and $p$-adic {Swan} conductor},
     journal = {Documenta mathematica},
     pages = {413--433},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/172},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/172/}
}
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Adriano Marmora. Irregularity and $p$-adic Swan conductor. Documenta mathematica, Tome 9 (2004), pp. 413-433. doi: 10.4171/dm/172

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