Edit Profile (opens in new tab) Abrashkin, Viktor Aleksandrovich Co-Author Distance 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: 49 Publications since 1974, including 1 Additional arXiv Preprint Co-Authors: 1 Co-Author with 1 Joint Publication Co-Authors 48 single-authored 1 Jenni, Ruth all top 5 Serials 7 Mathematics of the USSR. Izvestiya 5 Izvestiya: Mathematics 4 Journal de Théorie des Nombres de Bordeaux 3 International Journal of Mathematics 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 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 all top 5 Fields 35 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 159 times in 73 Documents Cited by ▼ Year ▼ Galois modules of period p group schemes over the ring of Witt vectors. Zbl 0674.14035 Abrashkin, V. A. 17 1988 An analogue of the field-of-norms functor and of the Grothendieck conjecture. Zbl 1135.11064 Abrashkin, Victor 12 2007 On a local analogue of the Grothendieck conjecture. Zbl 1073.12501 Abrashkin, Victor A. 11 2000 Ramification filtration of the Galois group of a local field. II. Zbl 0884.11047 Abrashkin, V. A. 9 1995 Modified proof of a local analogue of the Grothendieck conjecture. Zbl 1229.11148 Abrashkin, Victor 9 2010 A ramification filtration of the Galois group of a local field. III. Zbl 0918.11060 Abrashkin, V. A. 8 1998 The field of norms functor and the Brückner-Vostokov formula. Zbl 0895.11049 Abrashkin, Victor A. 7 1997 Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors. Zbl 0889.11041 Abrashkin, V. A. 7 1997 Galois modules arising from Faltings’s strict modules. Zbl 1102.14032 Abrashkin, V. 7 2006 The field-of-norms functor and the Hilbert symbol for higher local fields. Zbl 1286.11204 Abrashkin, Victor; Jenni, Ruth 7 2012 Groups of automorphisms of local fields of period \(p\) and nilpotent class \(<p\). I. Zbl 1409.11102 Abrashkin, Victor 6 2017 Ramification in étale cohomology. Zbl 0761.14006 Abrashkin, Victor A. 5 1990 A ramification filtration of the Galois group of a local field. Zbl 0873.11063 Abrashkin, V. A. 5 1995 Modular representations of the Galois group of a local field, and a generalization of the Shafarevich conjecture. Zbl 0733.14008 Abrashkin, V. A. 5 1990 Galois groups of local fields, Lie algebras and ramification. Zbl 1387.11084 Abrashkin, Victor 4 2015 An analogue of the Grothendieck conjecture for two-dimensional local fields of finite characteristic. Zbl 1125.11355 Abrashkin, V. A. 4 2003 Ramification theory for higher dimensional local fields. Zbl 1155.11355 Abrashkin, Victor 4 2002 Group schemes of period \(p>2\). Zbl 1200.14092 Abrashkin, Victor 4 2010 The image of the Galois group for some crystalline representations. Zbl 0941.11047 Abrashkin, V. A. 3 1999 Good reduction of two-dimensional abelian varieties. (Eine gute Reduktion zweidimensionaler Abelscher Mannigfaltigkeiten.) Zbl 0341.14011 Abrashkin, V. A. 2 1976 \(p\)-divisible groups over \(\mathbb Z\). Zbl 0381.14010 Abrashkin, V. A. 2 1977 2-divisible groups over \(\mathbb Z\). (2-teilbare Gruppen über \(\mathbb Z\).) Zbl 0334.14024 Abrashkin, V. A. 2 1976 Group schemes of period p over the ring of Witt vectors. Zbl 0593.14029 Abrashkin, V. A. 2 1985 Groups of automorphisms of local fields of period \(p\) and nilpotent class \(<p\). II. Zbl 1409.11103 Abrashkin, Victor 2 2017 Honda systems of group schemes of period p. Zbl 0664.14026 Abrashkin, V. A. 2 1988 Group schemes over a discrete valuation ring with small ramification. Zbl 0797.14015 Abrashkin, V. A. 1 1989 A group-theoretical property of the ramification filtration. Zbl 0929.11056 Abrashkin, V. A. 1 1998 The ramification filtration of the Galois group of a local field. Zbl 0853.11096 Abrashkin, V. A. 1 1995 Characteristic \(p\) analogue of modules with finite crystalline height. Zbl 1167.11043 Abrashkin, Victor 1 2009 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 1 2017 \(p\)-divisible groups over \(\mathbb Z\). Zbl 0387.14010 Abrashkin, V. A. 1 1977 Towards explicit description of ramification filtration in the 2-dimensional case. Zbl 1118.11049 Abrashkin, Victor 1 2004 Good reduction of two-dimensional abelian varieties. Zbl 0351.14019 Abrashkin, V. A. 1 1977 Honda systems of group schemes of the period p. Zbl 0633.14023 Abrashkin, V. A. 1 1987 Group schemes of period \(p\). Zbl 0533.14021 Abrashkin, V. A. 1 1983 Modification of the Fontaine-Laffaille functor. Zbl 0731.14026 Abrashkin, V. A. 1 1990 Finite group schemes of period p over a discrete valuation ring. Zbl 0689.14017 Abrashkin, V. A. 1 1988 Ramification filtration via deformations. Zbl 1472.11289 Abrashkin, Victor A. 1 2021 Ramification filtration via deformations. Zbl 1472.11289 Abrashkin, Victor A. 1 2021 Groups of automorphisms of local fields of period \(p\) and nilpotent class \(<p\). I. Zbl 1409.11102 Abrashkin, Victor 6 2017 Groups of automorphisms of local fields of period \(p\) and nilpotent class \(<p\). II. Zbl 1409.11103 Abrashkin, Victor 2 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 1 2017 Galois groups of local fields, Lie algebras and ramification. Zbl 1387.11084 Abrashkin, Victor 4 2015 The field-of-norms functor and the Hilbert symbol for higher local fields. Zbl 1286.11204 Abrashkin, Victor; Jenni, Ruth 7 2012 Modified proof of a local analogue of the Grothendieck conjecture. Zbl 1229.11148 Abrashkin, Victor 9 2010 Group schemes of period \(p>2\). Zbl 1200.14092 Abrashkin, Victor 4 2010 Characteristic \(p\) analogue of modules with finite crystalline height. Zbl 1167.11043 Abrashkin, Victor 1 2009 An analogue of the field-of-norms functor and of the Grothendieck conjecture. Zbl 1135.11064 Abrashkin, Victor 12 2007 Galois modules arising from Faltings’s strict modules. Zbl 1102.14032 Abrashkin, V. 7 2006 Towards explicit description of ramification filtration in the 2-dimensional case. Zbl 1118.11049 Abrashkin, Victor 1 2004 An analogue of the Grothendieck conjecture for two-dimensional local fields of finite characteristic. Zbl 1125.11355 Abrashkin, V. A. 4 2003 Ramification theory for higher dimensional local fields. Zbl 1155.11355 Abrashkin, Victor 4 2002 On a local analogue of the Grothendieck conjecture. Zbl 1073.12501 Abrashkin, Victor A. 11 2000 The image of the Galois group for some crystalline representations. Zbl 0941.11047 Abrashkin, V. A. 3 1999 A ramification filtration of the Galois group of a local field. III. Zbl 0918.11060 Abrashkin, V. A. 8 1998 A group-theoretical property of the ramification filtration. Zbl 0929.11056 Abrashkin, V. A. 1 1998 The field of norms functor and the Brückner-Vostokov formula. Zbl 0895.11049 Abrashkin, Victor A. 7 1997 Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors. Zbl 0889.11041 Abrashkin, V. A. 7 1997 Ramification filtration of the Galois group of a local field. II. Zbl 0884.11047 Abrashkin, V. A. 9 1995 A ramification filtration of the Galois group of a local field. Zbl 0873.11063 Abrashkin, V. A. 5 1995 The ramification filtration of the Galois group of a local field. Zbl 0853.11096 Abrashkin, V. A. 1 1995 Ramification in étale cohomology. Zbl 0761.14006 Abrashkin, Victor A. 5 1990 Modular representations of the Galois group of a local field, and a generalization of the Shafarevich conjecture. Zbl 0733.14008 Abrashkin, V. A. 5 1990 Modification of the Fontaine-Laffaille functor. Zbl 0731.14026 Abrashkin, V. A. 1 1990 Group schemes over a discrete valuation ring with small ramification. Zbl 0797.14015 Abrashkin, V. A. 1 1989 Galois modules of period p group schemes over the ring of Witt vectors. Zbl 0674.14035 Abrashkin, V. A. 17 1988 Honda systems of group schemes of period p. Zbl 0664.14026 Abrashkin, V. A. 2 1988 Finite group schemes of period p over a discrete valuation ring. Zbl 0689.14017 Abrashkin, V. A. 1 1988 Honda systems of group schemes of the period p. Zbl 0633.14023 Abrashkin, V. A. 1 1987 Group schemes of period p over the ring of Witt vectors. Zbl 0593.14029 Abrashkin, V. A. 2 1985 Group schemes of period \(p\). Zbl 0533.14021 Abrashkin, V. A. 1 1983 \(p\)-divisible groups over \(\mathbb Z\). Zbl 0381.14010 Abrashkin, V. A. 2 1977 \(p\)-divisible groups over \(\mathbb Z\). Zbl 0387.14010 Abrashkin, V. A. 1 1977 Good reduction of two-dimensional abelian varieties. Zbl 0351.14019 Abrashkin, V. A. 1 1977 Good reduction of two-dimensional abelian varieties. (Eine gute Reduktion zweidimensionaler Abelscher Mannigfaltigkeiten.) Zbl 0341.14011 Abrashkin, V. A. 2 1976 2-divisible groups over \(\mathbb Z\). (2-teilbare Gruppen über \(\mathbb Z\).) Zbl 0334.14024 Abrashkin, V. A. 2 1976 all cited Publications top 5 cited Publications all top 5 Cited by 84 Authors 12 Abrashkin, Viktor Aleksandrovich 5 Vostokov, Sergeĭ Vladimirovich 4 Hartl, Urs T. 2 Benois, Denis 2 Dembélé, Lassina 2 Gorchinskiĭ, Sergeĭ Olegovich 2 Hattori, Shin 2 Kim, Wansu 2 Koch, Alan 2 Malinin, Dmitry A. 2 Nizioł, Wiesława 2 Ozeki, Yoshiyasu 2 Schoof, René 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 Bieker, Patrick 1 Bondarko, Mikhail Vladimirovich 1 Boxall, John L. 1 Bräunling, Oliver 1 Brumer, Armand 1 Byott, Nigel P. 1 Calegari, Frank 1 Caruso, Xavier 1 Demchenko, Oleg Vyacheslavovich 1 Dorat, Lionel 1 Elder, Gove Griffith 1 Emerton, Matthew 1 Faltings, Gerd 1 Frei, Sarah 1 Gardeyn, Francis 1 Gee, Toby 1 Gröchenig, Michael 1 Hamidi, Parham 1 Hazewinkel, Michiel 1 Hoshi, Yuichiro 1 Ikonnikova, Elena Valer’evna 1 Jenni, Ruth 1 Ji, Lena 1 Jordan, Bruce W. 1 Karemaker, Valentijn 1 Khrebtova, Ekaterina S. 1 Kohlhaase, Jan 1 Kramer, Kenneth B. 1 Krekov, Dmitriĭ M. 1 Kulikov, Viktor Stepanovich 1 Kumar, Abhinav 1 Lbekkouri, Akram 1 Liu, Tong 1 Lorenzini, Dino J. 1 Mascot, Nicolas 1 Mavrides, Lambros 1 Minamide, Arata 1 Murotani, Takahiro 1 Nekrasov, Ilia I. 1 Parshin, Alekseĭ Nikolaevich 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 Sala, Massimiliano 1 Schneider, Hans-Jürgen 1 Schröer, Stefan 1 Sijsling, Jeroen 1 Snopce, Ilir 1 Steinmetz, Misja F. A. 1 Taufer, Daniele 1 Tavares Ribeiro, Floric 1 Tsujimura, Shota 1 Verhoek, Hendrik 1 Voight, John Michael 1 Vostokova, E. S. 1 Wolfson, Jesse 1 Xiao, Liang 1 Zalesskii, Pavel all top 5 Cited in 39 Serials 11 Journal of Number Theory 6 Journal de Théorie des Nombres de Bordeaux 4 Journal of Algebra 3 Manuscripta Mathematica 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 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 Mathematical Proceedings of the Cambridge Philosophical Society 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 Hiroshima Mathematical Journal 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 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 International Journal of Group Theory 1 European Journal of Mathematics 1 Research in Number Theory 1 Ural Mathematical Journal all top 5 Cited in 12 Fields 60 Number theory (11-XX) 34 Algebraic geometry (14-XX) 8 Group theory and generalizations (20-XX) 7 Commutative algebra (13-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.