| HAL : hal-00281800, version 1 |
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| Maximal wild monodromy in unequal characteristic |
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| Claus Lehr 1Michel Matignon 1 |
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| (2006) |
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| Let $R$ be a complete discrete valuation ring of mixed characteristic $(0,p)$ with field of fractions $K$ containing the $p$-th roots of unity and $C \la \PK$ a $p$-cyclic cover of the projective line. In this paper we study the finite monodromy extension of the curve $C$, i.e.\ the minimal finite extension $K'/K$ over which $C$ has a stable model. In particular we are interested in the wild part of this extension. In various examples we have shown that the finite monodromy can be maximal, i.e.\ attain certain bounds that were given in previous work by the authors. |
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| 1 : | Institut de Mathématiques de Bordeaux (IMB) |
| CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II | |
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| Domaine | : | Mathématiques/Géométrie algébrique |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00281800, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00281800 | |
| oai:hal.archives-ouvertes.fr:hal-00281800 | |
| Contributeur : Michel Matignon | |
| Soumis le : Samedi 24 Mai 2008, 14:38:10 | |
| Dernière modification le : Dimanche 25 Mai 2008, 10:29:45 | |