Ramification of local fields with imperfect residue fields

American Journal of Mathematics

Volumn 124, Issue 5, 2002, Pages 879-920

  Abbes, Ahmed ^a   Saito, Takeshi ^a  

^a UNIVERSITÉ PARIS 13   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036792535     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2002.0026     Document Type: Article

References (12)

1. S. Bosch, Eine bemerkenswerte Eigenschaft der formellen Fasem affinoider Räume, Math. Ann. 229 (1977), 25-45.
2. S. Bosch, U. Güntzer, and R. Remmert, Non-Archimedean Analynnsis, Fundamental Principles of Math. Sciences, vol. 261, Springer-Verlag, Berlin, 1984.
3. S. Bosch and W. Lütkebohmert, Stable reduction and uniformization of Abelian varieties I, Math. Ann. 270 (1985), 349-379.
4. _, Formal and rigid geometry, I. Rigid spaces, Math. Ann. 295 (1993), 291-317.
5. S. Bosch, W. Lütkebohmert, and M. Raynaud, Formal and rigid geometry, III. The relative maximum principle, Math. Ann. 302 (1995), 1-29.
6. _, Formal and rigid geometry, IV. The reduced fiber theorem, Invent. Math. 119 (1995), 361-398.
7. P. Deligne, Les corps locaux de caractéristique p limites de corps locaux de caractéristique 0, Representations des groupes réductifs sur un corps local, Travaux en Cours, Hermann, Paris, 1984.
8. H. Grauert and R. Remmert, Über die methode der diskret bewerteten tinge in der nicht-archimedischen analysis, Invent. Math. 2 (1966), 87-133.
9. A.J. de Jong, Crystalline Dieudonné module theory via formal and rigid geometry, Inst. Hautes Études Sci. Publ. Math. 82 (1995), 5-96.
10. K. Kato, Swan conductors for characters of degree one in the imperfect residue field case, Contemp. Math., vol. 83, Amer. Math. Soc., Providence, RI, 1989, pp. 101-131.
11. J.P. Murre, Lectures on an Introduction to Grothendieck's Theory of the Fundamental Group, Tata Inst. of Fund. Res., Bombay, 1967.
12. J.-P. Serre, Corps locaux, Hermann, Pads, 1968.