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Abrashkin, Viktor Aleksandrovich

Total publications: 39 (39)
in MathSciNet: 39 (39)
in zbMATH: 35 (35)
in Web of Science: 21 (21)
in Scopus: 31 (31)
Cited articles: 34
Citations in Math-Net.Ru: 63
Citations in Web of Science: 71
Citations in Scopus: 93
Presentations: 10

Number of views:
This page:4491
Abstract pages:5071
Full texts:1812
References:477
Doctor of physico-mathematical sciences
E-mail:
Website: http://maths.dur.ac.uk/~dma0va/

http://www.mathnet.ru/eng/person8844
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:abrashkin.victor-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/237011
https://elibrary.ru/author_items.asp?authorid=10741

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2021
1. V. A. Abrashkin, “Ramification filtration via deformations”, Sb. Math., 212:2 (2021), 135–169  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2017
2. Victor Abrashkin, “Groups of automorphisms of local fields of period $p^M$ and nilpotent class $<p$”, Ann. Inst. Fourier (Grenoble), 67:2 (2017), 605–635  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
3. Victor Abrashkin, “Groups of automorphisms of local fields of period $p$ and nilpotent class $<p$, I”, Int. J. Math., 28:6 (2017), 1750043 , 34 pp.  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
4. Victor Abrashkin, “Groups of automorphisms of local fields of period $p$ and nilpotent class $<p$, II”, Int. J. Math., 28:10 (2017), 1750066 , 32 pp.  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)

   2015
5. V. Abrashkin, “Ramification estimate for Fontaine–Laffaille Galois modules”, J. Algebra, 427 (2015), 319–328  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2014
6. V. Abrashkin, “Group schemes of period 2”, Manuscripta Math., 143:3-4 (2014), 317–353  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2013
7. V. Abrashkin, “Projective varieties with bad semi-stable reduction at 3 only”, Doc. Math., 18 (2013), 547–619  mathnet  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2010
8. V. Abrashkin, “Group schemes of period $p>2$”, Proc. Lond. Math. Soc. (3), 101:1 (2010), 207–259  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)
9. V. Abrashkin, “Modified proof of a local analogue of the Grothendieck conjecture”, J. Théor. Nombres Bordeaux, 22:1 (2010), 1–50  crossref  mathscinet  zmath  scopus (cited: 6)

   2009
10. V. Abrashkin, “Characteristic $p$ analogue of modules with finite crystalline height”, Pure Appl. Math. Q., 5:1 (2009), 469–494  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 4)

   2008
11. Victor Abrashkin, Group schemes of period $p>2$, 2008 , arXiv: 0806.2588  adsnasa

   2007
12. Abrashkin Victor, “An analogue of the field-of-norms functor and of the Grothendieck conjecture”, J. Algebraic Geom., 16:4 (2007), 671–730  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 2)  scopus (cited: 6)

   2006
13. Abrashkin V., “Galois modules arising from Faltings's strict modules”, Compos. Math., 142:4 (2006), 867–888  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 10)

   2004
14. Abrashkin Victor, “Towards explicit description of ramification filtration in the 2-dimensional case”, J. Théor. Nombres Bordeaux, 16:2 (2004), 293–333  crossref  mathscinet  zmath  scopus (cited: 2)

   2003
15. V. A. Abrashkin, “An Analogue of the Grothendieck Conjecture for Two-Dimensional Local Fields of Finite Characteristic”, Proc. Steklov Inst. Math., 241 (2003), 2–34  mathnet  mathscinet  zmath

   2002
16. Abrashkin Victor, “Ramification theory for higher dimensional local fields”, Algebraic number theory and algebraic geometry, Contemp. Math., 300, Amer. Math. Soc., Providence, RI, 2002, 1–16  crossref  mathscinet  zmath

   2000
17. Abrashkin Victor A., “On a local analogue of the Grothendieck conjecture”, Internat. J. Math., 11:2 (2000), 133–175  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 9)

   1999
18. V. A. Abrashkin, “The image of the Galois group for some crystalline representations”, Izv. Math., 63:1 (1999), 1–36  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   1998
19. V. A. Abrashkin, “A group-theoretical property of the ramification filtration”, Izv. Math., 62:6 (1998), 1073–1094  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
20. V. A. Abrashkin, “A ramification filtration of the Galois group of a local field. III”, Izv. Math., 62:5 (1998), 857–900  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 1)  scopus (cited: 4)

   1997
21. Abrashkin Victor A., “The field of norms functor and the Brückner-Vostokov formula”, Math. Ann., 308:1 (1997), 5–19  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 7)
22. V. A. Abrashkin, “Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors”, Izv. Math., 61:3 (1997), 463–515  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)

   1995
23. Abrashkin V. A., “A ramification filtration of the Galois group of a local field”, Proceedings of the St. Petersburg Mathematical Society, Vol. III, Amer. Math. Soc. Transl. Ser. 2, 166, Amer. Math. Soc., Providence, RI, 1995, 35–100  mathscinet  mathscinet  zmath  zmath
24. V. A. Abrashkin, “Ramification filtration of the Galois group of a local field. II”, Proc. Steklov Inst. Math., 208 (1995), 15–62  mathnet  mathscinet  zmath

   1990
25. Abrashkin Victor A., “Ramification in étale cohomology”, Invent. Math., 101:3 (1990), 631–640  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  scopus (cited: 9)
26. V. A. Abrashkin, “Group schemes over a discrete valuation ring with small ramification”, Leningrad Math. J., 1:1 (1990), 57–97  mathnet  mathscinet  zmath
27. V. A. Abrashkin, “Modular representations of the Galois group of a local field, and a generalization of the Shafarevich conjecture”, Math. USSR-Izv., 35:3 (1990), 469–518  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
28. V. A. Abrashkin, “Modification of the Fontaine–Laffaille functor”, Math. USSR-Izv., 34:3 (1990), 467–516  mathnet  crossref  mathscinet  zmath  scopus

   1988
29. V. A. Abrashkin, “Finite group schemes of period $p$ over a discrete valuation ring”, Russian Math. Surveys, 43:4 (1988), 199–200  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
30. V. A. Abrashkin, “Modular crystalline representations”, Russian Math. Surveys, 43:3 (1988), 195–196  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus
31. V. A. Abrashkin, “Galois moduli of period $p$ group schemes over a ring of Witt vectors”, Math. USSR-Izv., 31:1 (1988), 1–46  mathnet  crossref  mathscinet  zmath  scopus (cited: 11)
32. V. A. Abrashkin, “Honda systems of group schemes of period $p$”, Math. USSR-Izv., 30:3 (1988), 419–453  mathnet  crossref  mathscinet  zmath  scopus (cited: 5)

   1985
33. Abrashkin V. A., “Group schemes of period $p$ over the ring of Witt vectors”, Dokl. Akad. Nauk SSSR, 283:6 (1985), 1289–1294  mathnet (cited: 8)  mathscinet  zmath  isi (cited: 9)

   1983
34. V. A. Abrashkin, “Group schemes of period $p$”, Math. USSR-Izv., 20:3 (1983), 411–433  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1977
35. V. A. Abrashkin, “$p$-divisible groups over $\mathbf Z$”, Math. USSR-Izv., 11:5 (1977), 937–956  mathnet  crossref  mathscinet  zmath  scopus

   1976
36. V. A. Abrashkin, “Good reduction of two-dimensional Abelian varieties”, Math. USSR-Izv., 10:2 (1976), 245–254  mathnet  crossref  mathscinet  zmath  scopus
37. V. A. Abrashkin, “2-Divisible groups over $Z$”, Math. Notes, 19:5 (1976), 429–433  mathnet  crossref  mathscinet  zmath  scopus
38. V. A. Abrashkin, “Moduli of liftings of $p$-divisible groups and of nonsupersingular Abelian varieties”, Uspekhi Mat. Nauk, 31:3(189) (1976), 199–200  mathnet  mathscinet  zmath

   1974
39. V. A. Abrashkin, “Determination of the two-class imaginary quadratic fields with an even discriminant by Heegner's method”, Math. Notes, 15:2 (1974), 137–139  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

Presentations in Math-Net.Ru
1. Galois groups of $p$-extensions of higher local fields
V. A. Abrashkin
International conference ''Algebra, algebraic geometry and number theory'' dedicated to the memory of academician Igor Rostislavovich Shafarevich
June 13, 2018 11:20   
2. Galois groups of local fields and deformations of Lie algebras
V. A. Abrashkin
Shafarevich Seminar
April 3, 2018 15:00
3. $p$-extensions of local fields
V. A. Abrashkin
Arithmetic geometry seminar
April 2, 2018 15:30
4. $p$-расширения локальных полей с группой Галуа класса нильпотентности меньше $p$
V. A. Abrashkin
International conference dedicated to the 90th anniversary of academician Igor Rostislavovich Shafarevich
June 3, 2013 14:30   
5. A semi-stable case of the Shafarevich Conjecture
V. Abrashkin
International symposium "Arithmetic days in Moscow"
June 17, 2011 10:00   
6. Explicit construction of killed by $p$ finite flat group schemes over a $p$-adic complete discrete valuation ring
V. A. Abrashkin
Seminar on Arithmetic Algebraic Geometry
April 13, 2011 13:00
7. Функтор поле норм и символ Гильберта для многомерных локальных полей
V. A. Abrashkin
Seminar on Arithmetic Algebraic Geometry
September 15, 2010 11:00
8. Проективные многообразия над $Q$ с плохой полустабильной редукцией по модулю 3 и хорошей редукцией вне 3
V. A. Abrashkin
Seminar by Algebra Department
August 31, 2010 15:00
9. Элементарный подход к описанию конечных групповых схем над кольцом нормирования с произвольным ветвлением
V. A. Abrashkin
Seminar by Algebra Department
September 18, 2007 15:00
10. Модули Галуа, возникающие из строгих модулей Фальтингса
V. A. Abrashkin
Seminar by Algebra Department
September 27, 2005

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