Volume 3 (2000)

Download this article
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
The Series
About the Series
MSP Books and Monographs
Author Index
Subscriptions
Submission Guidelines
Author copyright form
Contacts
Geometry & Topology
G&T Publications
Editorial Board
GTP Author Index

Higher dimensional local fields

Igor Zhukov

Geometry & Topology Monographs 3 (2000) 5–18

DOI: 10.2140/gtm.2000.3.5

Bibliography
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