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Higher dimensional local fields
Igor Zhukov
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Geometry & Topology Monographs 3
(2000) 5–18
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| 1 |
I B Fesenko,
Abelian extensions of complete discrete valuation
fields, from: "Number theory (Paris, 1993–1994)",
London Math. Soc. Lecture Note Ser. 235, Cambridge Univ. Press
(1996) 47–74 MR1628793 |
| 2 |
I B Fesenko,
Sequential topologies and quotients of Milnor K–groups
of higher local fields, Algebra i Analiz 13 (2001)
198–221 MR1850194 |
| 3 |
I B Fesenko,
S V Vostokov, Local fields and their
extensions, Translations of Mathematical Monographs 121,
American Mathematical Society (1993) MR1218392
A constructive approach, With a foreword by I. R.
Shafarevich |
| 4 |
K Kato, A
generalization of local class field theory by using
K–groups I, J. Fac. Sci. Univ. Tokyo Sect. IA Math.
26 (1979) 303–376 MR550688 |
| 5 |
K Kato, Existence theorem
for higher local fields, from: "Invitation to higher
local fields (Münster, 1999)", Geom. Topol. Monogr. 3,
Geom. Topol. Publ., Coventry (2000) 165–195 MR1804933 |
| 6 |
I B Zhukov,
M V Koroteev, Elimination of wild
ramification, Algebra i Analiz 11 (1999) 153–177
MR1746073 |
| 7 |
A I Madunts,
I B Zhukov, Multidimensional complete fields:
topology and other basic constructions, from: "Proceedings
of the St. Petersburg Mathematical Society, Vol. III", Amer.
Math. Soc. Transl. Ser. 2 166, Amer. Math. Soc. (1995)
1–34 MR1363290 |
| 8 |
I B Zhukov,
A I Madunts, Additive and
multiplicative decompositions in multidimensional local
fields, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat.
Inst. Steklov. (POMI) 272 (2000) 186–196, 347 MR1811799 |
| 9 |
A N Parshin,
Local class field theory, Trudy Mat. Inst. Steklov. 165
(1984) 143–170 MR752939
Algebraic geometry and its applications |
| 10 |
I B Zhukov,
Structure theorems for complete fields, from:
"Proceedings of the St. Petersburg Mathematical Society, Vol.
III", Amer. Math. Soc. Transl. Ser. 2 166, Amer. Math. Soc.
(1995) 175–192 MR1363297 |
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