Xavier Caruso
University of Rennes
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Featured researches published by Xavier Caruso.
Crelle's Journal | 2006
Xavier Caruso
Abstract Let K be a local field of mixed characteristic not absolutely ramified. Fontaine-Laaille theory (see [J. M. Fontaine et G. Laffaille, Construction de représentations p-adiques, Ann. Sci. ENS 15 (1982), 547–608. ]) gives a description of the torsion crystalline ℤ p representations of the absolute Galois group of K (p denotes the characteristic of the residual field). Improving the former works, Breuil introduced new modules and obtained an integer and torsion theory for the semi-stable representations (see [C. Breuil, Construction de représentations p-adiques semi-stables, Ann. Sci. ENS 31 (1997), 281–327]). In this paper, we follow Breuils works and adapt them to the case where the local field K can be absolutely ramified. However, we would have a limitation on the index of absolute ramification.
Bulletin de la Société Mathématique de France | 2009
Xavier Caruso; Tong Liu
Journal of Algebra | 2011
Xavier Caruso; Tong Liu
Inventiones Mathematicae | 2008
Xavier Caruso
Mathematische Annalen | 2009
Xavier Caruso; David Savitt
Transactions of the American Mathematical Society | 2016
Xavier Caruso; Agnès David; Ariane Mézard
Crelle's Journal | 2017
Xavier Caruso
Journal de Theorie des Nombres de Bordeaux | 2017
Xavier Caruso
Inventiones Mathematicae | 2005
Xavier Caruso
EMS Newsletter | 2018
Xavier Caruso; Dominique Cerveau; Sébastien Gouëzel; Xhensila Lachambre; Nicolas Raymond; San Vũ Ngọc