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Fesenko, Ivan Borisovich

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Author ID: fesenko.ivan-b Recent zbMATH articles by "Fesenko, Ivan Borisovich"
Published as: Fesenko, Ivan; Fesenko, I. B.; Fesenko, Ivan B.; Fesenko, I.
Homepage: http://www.maths.nott.ac.uk/personal/ibf/
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 54 Publications since 1985, including 2 Books
3 Contributions as Editor
Reviewing Activity: 35 Reviews
Co-Authors: 27 Co-Authors with 19 Joint Publications
691 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 302 times in 189 Documents Cited by Year
Local fields and their extensions. 2nd ed. Zbl 1156.11046
Fesenko, I. B.; Vostokov, S. V.
106
2002
Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. Zbl 0781.11042
Fesenko, Ivan B.; Vostokov, S. V.
23
1993
On just infinite pro-\(p\)-groups and arithmetically profinite extensions of local fields. Zbl 0997.11107
Fesenko, Ivan
14
1999
Abelian local \(p\)-class field theory. Zbl 0819.11057
Fesenko, Ivan B.
9
1995
Analysis on arithmetic schemes. II. Zbl 1225.14019
Fesenko, Ivan
9
2010
Where the wild things are: ramification groups and the Nottingham group. Zbl 0976.20018
du Sautoy, Marcus; Fesenko, Ivan
8
2000
Topological Milnor \(K\)-groups of higher local fields. Zbl 1008.11065
Fesenko, Ivan
7
2000
Measure, integration and elements of harmonic analysis on generalized loop spaces. Zbl 1203.11080
Fesenko, Ivan
7
2006
Adelic approach to the zeta function of arithmetic schemes in dimension two. Zbl 1158.14023
Fesenko, Ivan
7
2008
Analysis on arithmetic schemes. I. Zbl 1130.11335
Fesenko, Ivan
7
2003
Nonabelian local reciprocity maps. Zbl 1039.11085
Fesenko, Ivan
6
2001
On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053
Vostokov, S. V.; Fesenko, I. B.
6
1986
Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29–September 5, 1999. Zbl 0954.00026
6
2000
On the image of noncommutative local reciprocity map. Zbl 1154.11340
Fesenko, Ivan
6
2005
Class field theory of multidimensional local fields of characteristic zero, with residue field of positive characteristic. Zbl 0791.11064
Fesenko, I. B.
5
1991
Multidimensional local class field theory. II. Zbl 0791.11063
Fesenko, I.
5
1991
Sequential topologies and quotients of Milnor \(K\)-groups of multidimensional local fields. Zbl 1003.11054
Fesenko, Ivan
5
2002
Local fields. Local class field theory. Higher local class field theory via algebraic \(K\)-theory. Zbl 0791.11062
Fesenko, I. B.
4
1992
Elliptic curves and formal groups. Zbl 0929.14028
Vostokov, S. V.; Fesenko, I. B.
4
1993
A certain property of the Hilbert pairing. Zbl 0692.14030
Vostokov, S. V.; Fesenko, I. B.
4
1988
On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
4
1990
Class field theory of multidimensional local fields of characteristic zero with residue field of positive characteristic. Zbl 0752.11054
Fesenko, I. B.
4
1991
Abelian extensions of complete discrete valuation fields. Zbl 0918.11061
Fesenko, Ivan B.
3
1996
On class field theory of multidimensional local fields of positive characteristic. Zbl 0743.11065
Fesenko, I.
3
1991
Local reciprocity cycles. Zbl 1008.11048
Fesenko, Ivan
3
2000
Local class field theory: Perfect residue field case. Zbl 0826.11056
Fesenko, Ivan B.
3
1993
Local field theory, local class field theory. Multidimensional local class field theory. Zbl 0765.11049
Fesenko, I. B.
3
1992
The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016
Vostokov, S. V.; Fesenko, I. B.
3
1985
Mean-periodicity and zeta functions. Zbl 1305.11079
Fesenko, Ivan; Ricotta, Guillaume; Suzuki, Masatoshi
3
2012
On deeply ramified extensions. Zbl 0959.11046
Fesenko, Ivan B.
2
1998
Multidimensional local class field theory. Zbl 0774.11070
Fesenko, I. B.
2
1991
Hasse-Arf property and Abelian extensions. Zbl 0831.11063
Fesenko, Ivan B.
2
1995
On the theory of higher-dimensional local fields. Methods and constructions. Zbl 0732.11066
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
2
1991
Several nonstandard remarks. Zbl 1113.03064
Fesenko, Ivan
2
2006
Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki. Zbl 1416.11119
Fesenko, Ivan
2
2015
Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces. Zbl 1383.11085
Fesenko, Ivan
2
2015
On the Seminar “Constructive class field theory”. Zbl 0806.11003
Bekker, B. M.; Benois, D. G.; Vostokov, S. V.; Zhukov, I. B.; Smirnov, A. L.; Fesenko, I. B.
1
1992
Fields Galois-equivalent to a local field of positive characteristic. Zbl 0965.11048
Efrat, Ido; Fesenko, Ivan
1
1999
On norm subgroups of complete discrete valuation fields. Zbl 0836.11038
Fesenko, I. B.
1
1993
On general local reciprocity maps. Zbl 0844.11073
Fesenko, Ivan B.
1
1996
Complete discrete valuation fields. Abelian local class field theories. Zbl 0860.11069
Fesenko, I. B.
1
1996
Parshin’s higher local class field theory in characteristic \(p\). Zbl 1008.11058
Fesenko, Ivan
1
2000
Explicit higher local class field theory. Zbl 1008.11054
Fesenko, Ivan
1
2000
Multidimensional local class field theory. II. Zbl 0770.11052
Fesenko, I.
1
1991
Generalised Kawada-Satake method for Mackey functors in class field theory. Zbl 1426.19004
Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho
1
2018
Model theory guidance in number theory. Zbl 1215.11119
Fesenko, Ivan
1
2008
Generalized Hilbert symbol in the 2-adic case. Zbl 0599.12015
Fesenko, I. B.
1
1985
Generalised Kawada-Satake method for Mackey functors in class field theory. Zbl 1426.19004
Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho
1
2018
Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki. Zbl 1416.11119
Fesenko, Ivan
2
2015
Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces. Zbl 1383.11085
Fesenko, Ivan
2
2015
Mean-periodicity and zeta functions. Zbl 1305.11079
Fesenko, Ivan; Ricotta, Guillaume; Suzuki, Masatoshi
3
2012
Analysis on arithmetic schemes. II. Zbl 1225.14019
Fesenko, Ivan
9
2010
Adelic approach to the zeta function of arithmetic schemes in dimension two. Zbl 1158.14023
Fesenko, Ivan
7
2008
Model theory guidance in number theory. Zbl 1215.11119
Fesenko, Ivan
1
2008
Measure, integration and elements of harmonic analysis on generalized loop spaces. Zbl 1203.11080
Fesenko, Ivan
7
2006
Several nonstandard remarks. Zbl 1113.03064
Fesenko, Ivan
2
2006
On the image of noncommutative local reciprocity map. Zbl 1154.11340
Fesenko, Ivan
6
2005
Analysis on arithmetic schemes. I. Zbl 1130.11335
Fesenko, Ivan
7
2003
Local fields and their extensions. 2nd ed. Zbl 1156.11046
Fesenko, I. B.; Vostokov, S. V.
106
2002
Sequential topologies and quotients of Milnor \(K\)-groups of multidimensional local fields. Zbl 1003.11054
Fesenko, Ivan
5
2002
Nonabelian local reciprocity maps. Zbl 1039.11085
Fesenko, Ivan
6
2001
Where the wild things are: ramification groups and the Nottingham group. Zbl 0976.20018
du Sautoy, Marcus; Fesenko, Ivan
8
2000
Topological Milnor \(K\)-groups of higher local fields. Zbl 1008.11065
Fesenko, Ivan
7
2000
Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29–September 5, 1999. Zbl 0954.00026
6
2000
Local reciprocity cycles. Zbl 1008.11048
Fesenko, Ivan
3
2000
Parshin’s higher local class field theory in characteristic \(p\). Zbl 1008.11058
Fesenko, Ivan
1
2000
Explicit higher local class field theory. Zbl 1008.11054
Fesenko, Ivan
1
2000
On just infinite pro-\(p\)-groups and arithmetically profinite extensions of local fields. Zbl 0997.11107
Fesenko, Ivan
14
1999
Fields Galois-equivalent to a local field of positive characteristic. Zbl 0965.11048
Efrat, Ido; Fesenko, Ivan
1
1999
On deeply ramified extensions. Zbl 0959.11046
Fesenko, Ivan B.
2
1998
Abelian extensions of complete discrete valuation fields. Zbl 0918.11061
Fesenko, Ivan B.
3
1996
On general local reciprocity maps. Zbl 0844.11073
Fesenko, Ivan B.
1
1996
Complete discrete valuation fields. Abelian local class field theories. Zbl 0860.11069
Fesenko, I. B.
1
1996
Abelian local \(p\)-class field theory. Zbl 0819.11057
Fesenko, Ivan B.
9
1995
Hasse-Arf property and Abelian extensions. Zbl 0831.11063
Fesenko, Ivan B.
2
1995
Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. Zbl 0781.11042
Fesenko, Ivan B.; Vostokov, S. V.
23
1993
Elliptic curves and formal groups. Zbl 0929.14028
Vostokov, S. V.; Fesenko, I. B.
4
1993
Local class field theory: Perfect residue field case. Zbl 0826.11056
Fesenko, Ivan B.
3
1993
On norm subgroups of complete discrete valuation fields. Zbl 0836.11038
Fesenko, I. B.
1
1993
Local fields. Local class field theory. Higher local class field theory via algebraic \(K\)-theory. Zbl 0791.11062
Fesenko, I. B.
4
1992
Local field theory, local class field theory. Multidimensional local class field theory. Zbl 0765.11049
Fesenko, I. B.
3
1992
On the Seminar “Constructive class field theory”. Zbl 0806.11003
Bekker, B. M.; Benois, D. G.; Vostokov, S. V.; Zhukov, I. B.; Smirnov, A. L.; Fesenko, I. B.
1
1992
Class field theory of multidimensional local fields of characteristic zero, with residue field of positive characteristic. Zbl 0791.11064
Fesenko, I. B.
5
1991
Multidimensional local class field theory. II. Zbl 0791.11063
Fesenko, I.
5
1991
Class field theory of multidimensional local fields of characteristic zero with residue field of positive characteristic. Zbl 0752.11054
Fesenko, I. B.
4
1991
On class field theory of multidimensional local fields of positive characteristic. Zbl 0743.11065
Fesenko, I.
3
1991
Multidimensional local class field theory. Zbl 0774.11070
Fesenko, I. B.
2
1991
On the theory of higher-dimensional local fields. Methods and constructions. Zbl 0732.11066
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
2
1991
Multidimensional local class field theory. II. Zbl 0770.11052
Fesenko, I.
1
1991
On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
4
1990
A certain property of the Hilbert pairing. Zbl 0692.14030
Vostokov, S. V.; Fesenko, I. B.
4
1988
On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053
Vostokov, S. V.; Fesenko, I. B.
6
1986
The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016
Vostokov, S. V.; Fesenko, I. B.
3
1985
Generalized Hilbert symbol in the 2-adic case. Zbl 0599.12015
Fesenko, I. B.
1
1985
all top 5

Cited by 181 Authors

23 Vostokov, Sergeĭ Vladimirovich
7 Fesenko, Ivan Borisovich
6 Keating, Kevin
6 Volkov, Vladislav Vladimirovich
5 Bondarko, Mikhail Vladimirovich
5 Elder, Gove Griffith
5 İkeda, Kâzım İlhan
5 Ivanova, Ol’ga Yur’evna
4 Chipchakov, Ivan D.
4 Hiranouchi, Toshiro
4 Ikonnikova, Elena Valer’evna
4 Monge, Maurizio
4 Serbest, Erol
4 Vostokova, Regina Petrovna
4 Zhukov, Igor’ Borisovich
3 Afanas’eva, Sof’ya Sergeevna
3 Byott, Nigel P.
3 Del Corso, Ilaria
3 Ershov, Mikhail V.
3 Madunts, Aleksandra Igor’evna
3 Pak, G. K.
3 Plymen, Roger J.
2 Aubert, Anne-Marie
2 Babenko, Ivan K.
2 Banerjee, Debargha
2 Barnea, Yiftach
2 Biswas, Sazzad Ali
2 Bräunling, Oliver
2 Cámara, Alberto
2 Dvornicich, Roberto
2 Efrat, Ido
2 Ferens-Sorotskiy, E. V.
2 Florez, Jorge
2 Generalov, Aleksandr Ivanovich
2 Ivanov, Michael A.
2 Karpenko, Nikita Aleksandrovich
2 Kochubeĭ, Anatoliĭ Naumovych
2 Lagemann, Thorsten
2 Li, Hua-Chieh
2 Lur’e, Boris Beniaminovich
2 Mendes, Sergio
2 Nguyễn Quôc Thăng
2 Pauli, Sebastian
2 Pisolkar, Supriya
2 Stasinski, Alexander
2 Suzuki, Masatoshi
2 Tengan, Eduardo
2 Thomas, Lara
2 Vavilov, Nikolaĭ Aleksandrovich
1 Abramov, Ya. V.
1 Abrashkin, Viktor Aleksandrovich
1 Amano, Fumiya
1 André, Yves
1 Asakura, Masanori
1 Bauchère, Hugues
1 Bekker, Boris Mikhaĭlovich
1 Bell, Robert A.
1 Bley, Werner
1 Bleybel, Ali
1 Bogatyĭ, Semeon Antonovich
1 Boĭtsov, V. G.
1 Boltje, Robert
1 Boston, Nigel
1 Brown, Jim L.
1 Brussel, Eric S.
1 Byszewski, Jakub
1 Carter, James E.
1 Castaño-Bernard, Carlos
1 Checcoli, Sara
1 Chi, Wenchen
1 Cornelissen, Gunther
1 Czerniawska, Weronika
1 Daberkow, Mario
1 Demchenko, Oleg Vyacheslavovich
1 Destagnol, Kevin
1 Dolce, Paolo
1 Ershov, Yuriĭ Leonidovich
1 Ferri, Fabio
1 Fintzen, Jessica
1 Foster, Tyler
1 Frenkel, Edward V.
1 Fukaya, Takako
1 Gangavarapu
1 Gazaki, Evangelia
1 Gendron, T. M.
1 Ghate, Eknath P.
1 Gorchinskiĭ, Sergeĭ Olegovich
1 Gorshkov, Andreĭ Aleksandrovich
1 Greither, Cornelius
1 Griffin, Cornelius
1 Gröchenig, Michael
1 Gröger, Detlef
1 Häsä, Jokke
1 Hasmani, Alfeen
1 Hiltner, Lindsey
1 Hooper, Jeffrey J.
1 Hörmann, Fritz
1 Hou, Xiang-Dong
1 Hutchinson, Kevin
1 Huynh Van Duc
...and 81 more Authors
all top 5

Cited in 69 Serials

31 Journal of Number Theory
21 Journal of Mathematical Sciences (New York)
14 Journal de Théorie des Nombres de Bordeaux
13 St. Petersburg Mathematical Journal
7 Journal of Algebra
7 Manuscripta Mathematica
7 Vestnik St. Petersburg University. Mathematics
6 Communications in Algebra
5 Transactions of the American Mathematical Society
4 International Journal of Number Theory
3 Journal of Pure and Applied Algebra
3 Proceedings of the Japan Academy. Series A
3 European Journal of Mathematics
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Advances in Mathematics
2 Mathematische Nachrichten
2 Tokyo Journal of Mathematics
2 Representation Theory
2 Central European Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Seminario Matematico della Università di Padova
1 Note di Matematica
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Geometry
1 Zapiski Nauchnykh Seminarov POMI
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Lobachevskii Journal of Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of the Institute of Mathematics of Jussieu
1 Hacettepe Journal of Mathematics and Statistics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Noncommutative Geometry
1 Journal of \(K\)-Theory
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Pseudo-Differential Operators and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Carpathian Mathematical Publications
1 EMS Surveys in Mathematical Sciences
1 Research in the Mathematical Sciences

Citations by Year

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