On deeply ramified extensions

Journal of the London Mathematical Society

Volumn 57, Issue 2, 1998, Pages 325-335

  Fesenko, Ivan B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032056164     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610798006097     Document Type: Article

References (13)

1. J. COATES and R. GREENBERG, 'Kummer theory for abelian varieties over local fields', Invent. Math. 124 (1996) 129-174.
2. I. B. FESENKO, 'Local class field theory: perfect residue field case', Izv. Ross. Akad. Nauk. Ser. Mat. 57 (1993) 72-91; Russian Acad. Sci. Izv. Math. 43 (1994) 65-81.
3. I. B. FESENKO, 'Local class field theory: perfect residue field case', Izv. Ross. Akad. Nauk. Ser. Mat. 57 (1993) 72-91; Russian Acad. Sci. Izv. Math. 43 (1994) 65-81.
4. I. FESENKO and S. VOSTOKOV, Local fields and their extensions: a constructive approach (American Mathematical Society, Providence, 1993).
5. J.-M. FONTAINE and J.-P. WINTENBERGER, 'Le "corps des normes" de certaines extensions algebriques de corps locaux', C. R. Acad. Sci. Paris Sér. I Math. 288 (1979) 367-370.
6. J. FRESNEL and M. MATIGNON, 'Produit tensoriel topologique de corps values', Canad. J. Math. 35 (1983) 218-273.
7. F. LAUBIE, 'Sur la ramification des extensions de Lie', Compositio Math. 55 (1985) 253-262.
8. M. MATIGNON, 'Sous-corps fermés du complété de la clôture algébrique d'un corps local', C. R. Acad. Sci. Paris Sér. I Math. 288 (1979) 1051-1054.
9. S. SEN, 'Ramification in p-adic Lie extensions', Invent. Math. 17 (1972) 44-50.
10. J.-P. WINTENBERGER, 'Extensions de Lie et groupes d'automorphismes des corps locaux de caracteristique p', C. R. Acad. Sci Paris Sér. I Math. 288 (1979) 477-479.
11. J.-P. WINTENBERGER, 'Le corps des normes de certaines extensions infinies des corps locaux, applications', Ann. Sci. École Norm. Sup. 16 (1983) 59-89.
12. Y. KAWADA, 'On the ramification theory of infinite algebraic extensions', Ann. Math. 58 (1953) 24-47.
13. I. FESENKO, 'On just infinite pro-p-groups and arithmetically profinite extensions of local fields', Preprint 99, Algebraic Number Theory Archive (http://www.math.uiuc.edu/Algebraic-Number-Theory), 1998.