## Abrashkin, Viktor Aleksandrovich

Compute Distance To:
 Author ID: abrashkin.victor-a Published as: Abrashkin, V. A.; Abrashkin, Victor; Abrashkin, Victor A.; Abrashkin, V. more...less Homepage: http://maths.dur.ac.uk/~dma0va/ External Links: MGP · Wikidata · Math-Net.Ru
 Documents Indexed: 46 Publications since 1974 Co-Authors: 1 Co-Author with 1 Joint Publication

### Co-Authors

 45 single-authored 1 Jenni, Ruth
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### Serials

 7 Mathematics of the USSR. Izvestiya 4 Izvestiya: Mathematics 3 International Journal of Mathematics 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Journal de Théorie des Nombres de Bordeaux 2 Mathematical Notes 2 Russian Mathematical Surveys 1 Matematicheskie Zametki 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Soviet Mathematics. Doklady 1 Leningrad Mathematical Journal 1 Journal of Algebraic Geometry 1 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva 1 Sbornik: Mathematics 1 Documenta Mathematica 1 Pure and Applied Mathematics Quarterly
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### Fields

 32 Number theory (11-XX) 27 Algebraic geometry (14-XX) 7 Commutative algebra (13-XX) 5 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 1 Nonassociative rings and algebras (17-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 122 times in 61 Documents Cited by Year
Galois modules of period p group schemes over the ring of Witt vectors. Zbl 0674.14035
Abrashkin, V. A.
1988
An analogue of the field-of-norms functor and of the Grothendieck conjecture. Zbl 1135.11064
Abrashkin, Victor
2007
On a local analogue of the Grothendieck conjecture. Zbl 1073.12501
Abrashkin, Victor A.
2000
Ramification filtration of the Galois group of a local field. II. Zbl 0884.11047
Abrashkin, V. A.
1995
The field of norms functor and the Brückner-Vostokov formula. Zbl 0895.11049
Abrashkin, Victor A.
1997
Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors. Zbl 0889.11041
Abrashkin, V. A.
1997
The field-of-norms functor and the Hilbert symbol for higher local fields. Zbl 1286.11204
Abrashkin, Victor; Jenni, Ruth
2012
Galois modules arising from Faltings’s strict modules. Zbl 1102.14032
Abrashkin, V.
2006
Modified proof of a local analogue of the Grothendieck conjecture. Zbl 1229.11148
Abrashkin, Victor
2010
A ramification filtration of the Galois group of a local field. III. Zbl 0918.11060
Abrashkin, V. A.
1998
Ramification in étale cohomology. Zbl 0761.14006
Abrashkin, Victor A.
1990
Modular representations of the Galois group of a local field, and a generalization of the Shafarevich conjecture. Zbl 0733.14008
Abrashkin, V. A.
1990
Groups of automorphisms of local fields of period $$p$$ and nilpotent class $$<p$$. I. Zbl 1409.11102
Abrashkin, Victor
2017
An analogue of the Grothendieck conjecture for two-dimensional local fields of finite characteristic. Zbl 1125.11355
Abrashkin, V. A.
2003
A ramification filtration of the Galois group of a local field. Zbl 0873.11063
Abrashkin, V. A.
1995
The image of the Galois group for some crystalline representations. Zbl 0941.11047
Abrashkin, V. A.
1999
Group schemes of period $$p>2$$. Zbl 1200.14092
Abrashkin, Victor
2010
2-divisible groups over $$\mathbb Z$$. (2-teilbare Gruppen über $$\mathbb Z$$.) Zbl 0334.14024
Abrashkin, V. A.
1976
Good reduction of two-dimensional abelian varieties. (Eine gute Reduktion zweidimensionaler Abelscher Mannigfaltigkeiten.) Zbl 0341.14011
Abrashkin, V. A.
1976
Honda systems of group schemes of period p. Zbl 0664.14026
Abrashkin, V. A.
1988
Galois groups of local fields, Lie algebras and ramification. Zbl 1387.11084
Abrashkin, Victor
2015
Ramification theory for higher dimensional local fields. Zbl 1155.11355
Abrashkin, Victor
2002
Modification of the Fontaine-Laffaille functor. Zbl 0731.14026
Abrashkin, V. A.
1990
Group schemes of period $$p$$. Zbl 0533.14021
Abrashkin, V. A.
1983
Honda systems of group schemes of the period p. Zbl 0633.14023
Abrashkin, V. A.
1987
Towards explicit description of ramification filtration in the 2-dimensional case. Zbl 1118.11049
Abrashkin, Victor
2004
$$p$$-divisible groups over $$\mathbb Z$$. Zbl 0381.14010
Abrashkin, V. A.
1977
$$p$$-divisible groups over $$\mathbb Z$$. Zbl 0387.14010
Abrashkin, V. A.
1977
Finite group schemes of period p over a discrete valuation ring. Zbl 0689.14017
Abrashkin, V. A.
1988
Group schemes of period p over the ring of Witt vectors. Zbl 0593.14029
Abrashkin, V. A.
1985
Good reduction of two-dimensional abelian varieties. Zbl 0351.14019
Abrashkin, V. A.
1977
The ramification filtration of the Galois group of a local field. Zbl 0853.11096
Abrashkin, V. A.
1995
Group schemes over a discrete valuation ring with small ramification. Zbl 0797.14015
Abrashkin, V. A.
1989
Groups of automorphisms of local fields of period $$p$$ and nilpotent class $$<p$$. II. Zbl 1409.11103
Abrashkin, Victor
2017
Groups of automorphisms of local fields of period $$p^M$$ and nilpotent class $$<p$$. (Groupes d’automorphismes de corps locaux de période $$p^M$$ et de classe de nilpotence $$<p$$.) Zbl 1437.11156
Abrashkin, Victor
2017
Characteristic $$p$$ analogue of modules with finite crystalline height. Zbl 1167.11043
Abrashkin, Victor
2009
Groups of automorphisms of local fields of period $$p$$ and nilpotent class $$<p$$. I. Zbl 1409.11102
Abrashkin, Victor
2017
Groups of automorphisms of local fields of period $$p$$ and nilpotent class $$<p$$. II. Zbl 1409.11103
Abrashkin, Victor
2017
Groups of automorphisms of local fields of period $$p^M$$ and nilpotent class $$<p$$. (Groupes d’automorphismes de corps locaux de période $$p^M$$ et de classe de nilpotence $$<p$$.) Zbl 1437.11156
Abrashkin, Victor
2017
Galois groups of local fields, Lie algebras and ramification. Zbl 1387.11084
Abrashkin, Victor
2015
The field-of-norms functor and the Hilbert symbol for higher local fields. Zbl 1286.11204
Abrashkin, Victor; Jenni, Ruth
2012
Modified proof of a local analogue of the Grothendieck conjecture. Zbl 1229.11148
Abrashkin, Victor
2010
Group schemes of period $$p>2$$. Zbl 1200.14092
Abrashkin, Victor
2010
Characteristic $$p$$ analogue of modules with finite crystalline height. Zbl 1167.11043
Abrashkin, Victor
2009
An analogue of the field-of-norms functor and of the Grothendieck conjecture. Zbl 1135.11064
Abrashkin, Victor
2007
Galois modules arising from Faltings’s strict modules. Zbl 1102.14032
Abrashkin, V.
2006
Towards explicit description of ramification filtration in the 2-dimensional case. Zbl 1118.11049
Abrashkin, Victor
2004
An analogue of the Grothendieck conjecture for two-dimensional local fields of finite characteristic. Zbl 1125.11355
Abrashkin, V. A.
2003
Ramification theory for higher dimensional local fields. Zbl 1155.11355
Abrashkin, Victor
2002
On a local analogue of the Grothendieck conjecture. Zbl 1073.12501
Abrashkin, Victor A.
2000
The image of the Galois group for some crystalline representations. Zbl 0941.11047
Abrashkin, V. A.
1999
A ramification filtration of the Galois group of a local field. III. Zbl 0918.11060
Abrashkin, V. A.
1998
The field of norms functor and the Brückner-Vostokov formula. Zbl 0895.11049
Abrashkin, Victor A.
1997
Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors. Zbl 0889.11041
Abrashkin, V. A.
1997
Ramification filtration of the Galois group of a local field. II. Zbl 0884.11047
Abrashkin, V. A.
1995
A ramification filtration of the Galois group of a local field. Zbl 0873.11063
Abrashkin, V. A.
1995
The ramification filtration of the Galois group of a local field. Zbl 0853.11096
Abrashkin, V. A.
1995
Ramification in étale cohomology. Zbl 0761.14006
Abrashkin, Victor A.
1990
Modular representations of the Galois group of a local field, and a generalization of the Shafarevich conjecture. Zbl 0733.14008
Abrashkin, V. A.
1990
Modification of the Fontaine-Laffaille functor. Zbl 0731.14026
Abrashkin, V. A.
1990
Group schemes over a discrete valuation ring with small ramification. Zbl 0797.14015
Abrashkin, V. A.
1989
Galois modules of period p group schemes over the ring of Witt vectors. Zbl 0674.14035
Abrashkin, V. A.
1988
Honda systems of group schemes of period p. Zbl 0664.14026
Abrashkin, V. A.
1988
Finite group schemes of period p over a discrete valuation ring. Zbl 0689.14017
Abrashkin, V. A.
1988
Honda systems of group schemes of the period p. Zbl 0633.14023
Abrashkin, V. A.
1987
Group schemes of period p over the ring of Witt vectors. Zbl 0593.14029
Abrashkin, V. A.
1985
Group schemes of period $$p$$. Zbl 0533.14021
Abrashkin, V. A.
1983
$$p$$-divisible groups over $$\mathbb Z$$. Zbl 0381.14010
Abrashkin, V. A.
1977
$$p$$-divisible groups over $$\mathbb Z$$. Zbl 0387.14010
Abrashkin, V. A.
1977
Good reduction of two-dimensional abelian varieties. Zbl 0351.14019
Abrashkin, V. A.
1977
2-divisible groups over $$\mathbb Z$$. (2-teilbare Gruppen über $$\mathbb Z$$.) Zbl 0334.14024
Abrashkin, V. A.
1976
Good reduction of two-dimensional abelian varieties. (Eine gute Reduktion zweidimensionaler Abelscher Mannigfaltigkeiten.) Zbl 0341.14011
Abrashkin, V. A.
1976
all top 5

### Cited by 69 Authors

 11 Abrashkin, Viktor Aleksandrovich 5 Vostokov, Sergeĭ Vladimirovich 4 Hartl, Urs T. 2 Benois, Denis 2 Gorchinskiĭ, Sergeĭ Olegovich 2 Hattori, Shin 2 Kim, Wansu 2 Koch, Alan 2 Malinin, Dmitry A. 2 Nizioł, Wiesława 2 Singh, Rajneesh Kumar 2 Volkov, Vladislav Vladimirovich 2 Zhukov, Igor’ Borisovich 1 Afanas’eva, Sof’ya Sergeevna 1 Andreatta, Fabrizio 1 Baaziz, Houria 1 Bartels, Hans-Jochen 1 Bondarko, Mikhail Vladimirovich 1 Boxall, John L. 1 Bräunling, Oliver 1 Byott, Nigel P. 1 Calegari, Frank 1 Caruso, Xavier 1 Dembélé, Lassina 1 Demchenko, Oleg Vyacheslavovich 1 Dorat, Lionel 1 Elder, Gove Griffith 1 Emerton, Matthew 1 Faltings, Gerd 1 Gardeyn, Francis 1 Gee, Toby 1 Gröchenig, Michael 1 Hamidi, Parham 1 Hazewinkel, Michiel 1 Ikonnikova, Elena Valer’evna 1 Jenni, Ruth 1 Jordan, Bruce W. 1 Karemaker, Valentijn 1 Khrebtova, Ekaterina S. 1 Kohlhaase, Jan 1 Krekov, Dmitriĭ M. 1 Kulikov, Viktor Stepanovich 1 Kumar, Abhinav 1 Lbekkouri, Akram 1 Liu, Tong 1 Lorenzini, Dino J. 1 Mavrides, Lambros 1 Minamide, Arata 1 Nekrasov, Ilia I. 1 Ozeki, Yoshiyasu 1 Parshin, Alexei N. 1 Pink, Richard 1 Pital’, Petr Nikolaevich 1 Ploner, Pietro 1 Poguntke, Thomas 1 Popov, Vladimir Leonidovich 1 Rapinchuk, Andrei S. 1 Rapinchuk, Igor A. 1 Ray, Jishnu 1 Rütsche, Egon 1 Schneider, Hans-Jürgen 1 Schoof, René 1 Schröer, Stefan 1 Steinmetz, Misja F. A. 1 Tavares Ribeiro, Floric 1 Tsujimura, Shota 1 Vostokova, E. S. 1 Wolfson, Jesse 1 Xiao, Liang
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### Cited in 33 Serials

 9 Journal of Number Theory 5 Journal de Théorie des Nombres de Bordeaux 3 Journal of Algebra 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Manuscripta Mathematica 2 International Journal of Mathematics 2 St. Petersburg Mathematical Journal 2 Sbornik: Mathematics 2 Lobachevskii Journal of Mathematics 2 Journal of Algebra and its Applications 2 Research in the Mathematical Sciences 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Algebraic Geometry 1 Annals of Mathematics. Second Series 1 Proceedings of the Steklov Institute of Mathematics 1 European Journal of Mathematics 1 Ural Mathematical Journal
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### Cited in 12 Fields

 50 Number theory (11-XX) 27 Algebraic geometry (14-XX) 7 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 4 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Information and communication theory, circuits (94-XX)

### Wikidata Timeline

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