Euler International Mathematical Institute

International conference

IN HONOR OF SERGEY V. VOSTOKOV
ON THE OCCASION OF HIS 60TH BIRTHDAY

June 23-24, 2005

 

St Petersburg, RUSSIA

S.V.Vostokov

S.V.Vostokov
List of publications

  1. An orthogonal basis of a local field
    Izv. Akad. Nauk. SSSR Ser. Mat. vol 37, 1973, 1228-1240 (Russian)
    translation Math. USSR-Izv vol 7,1973
  2. Z. I. Borevich and S. V. Vostokov
    The ring of integral elements of an extension of prime degree of a local field as a Galois module
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI)vol 31,1973,24-37 (Russian)
    translation J. Soviet Math. vol 6, 1976, issue 1, 227-238
  3. Ideals of the abelian p-extension of an irregular local field as Galois module
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), vol 46, 1974, 14-35 (Russian)
    translation J. Soviet Math. vol 9, 1978, issue 3, 299-317
  4. Ideals of an abelian p-extension of a local field as Galois modules
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI), vol 57,1976, 64-84 (Russian)
    translation J. Soviet Math. vol 11, 1979, issue 4, 567-584
  5. A normal base of an ideal of a local field
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), vol 64, 1976, 64-68 (Russian)
    translation J. Soviet Math. vol 17, 1981, issue 2, 1755-1759
  6. The ring of integral elements of an algebraic number field as a Galois module
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), vol 71, 1977, 80-84 (Russian)
    translation J. Soviet Math. vol 20, 1982, issue 6, 2556-2559
  7. The reciprocity law in an algebraic number field
    Trudy Mat. Inst. Steklov, vol 148, 1978, 77-81 (Russian)
    translation Proc. Steklov Inst. Math. vol 148, 1980, 75-79
  8. An explicit form of the reciprocity law
    Izv. Akad. Nauk SSSR Ser. Mat. vol 42, 1978, issue 6,1288-1321 (Russian)
    translation Math. USSR-Izv. vol 13, 1979, issue 6, 557-588
  9. A norm pairing in formal modules
    Izv. Akad. Nauk SSSR Ser. Mat. vol 43, 1979, issue 4, 765-794 (Russian)
    translation Math. USSR-Izv. vol 15, 1980, issue 1, 25-52
  10. The Hilbert symbol in a discretely valued field
    Zap. Nauchn. Sem.\linebreak Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) vol 94, 1979, 50-69 (Russian)
    translation J. Soviet Math. vol 19, 1982, issue 1,1006-1019
  11. Canonical decomposition in the group of points of a Lubin-Tate formal group
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) vol 103, 1980, 52-57 (Russian)
    translation J. Soviet Math. vol 24, 1984, issue 4, 419-422
  12. Symbols on formal groups
    Izv. Akad. Nauk SSSR Ser. Mat. vol 45, 1981, issue 5, 985-1014 (Russian)
    translation Math. USSR-Izv. vol 19, 1982, issue 5, 261-284
  13. The Hilbert symbol for Lubin-Tate formal groups. {\rm I}
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) vol 114, 1982, 77-95 (Russian)
    translation J. Soviet Math. vol 27, 1984, issue 4,2885-2901
  14. S. V. Vostokov and I. B. Fesenko
    The Hilbert symbol for Lubin-Tate formal groups. {\rm II}
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) vol 132, 1983, 85-96 (Russian)
    translation J. Soviet Math. vol 30, 1985, issue 1,1854-1862
  15. Explicit construction of class field theory for a multidimensional local field
    Izv. Akad. Nauk SSSR Ser. Mat. vol 49, 1985, issue 2, 238-308 (Russian)
    translation Math. USSR-Izv. vol 26, 1986, issue 2, 263-288
  16. S.V.Vostokov and I.B.Fesenko
    On torsion in higher Milnor functors for multidimensional local fields
    in book Rings and modules. Limit theorems of probability theory. 1 LGU, Leningrad, 1986, 75-87 (Russian)
    translation Amer. Math. Soc. Transl. (Ser. 2) vol 154, 1992, 25-35
  17. The Lutz filtration as a Galois module in an extension without higher ramification
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) vol 160, 1987,182-192 (Russian)
    translation J. Soviet Math. vol 52, 1990, issue 3,3133-3141
  18. S. V. Vostokov and I. B. Fesenko
    A property of the Hilbert pairing
    Mat. Zametki, vol 43, 1988, issue 3, 393-400 (Russian)
    translation Math.Notes vol 43, 1988, issue 3, 226-230
  19. S. V. Vostokov and I. B. Zhukov
    Abelian semiramified expansions of a two-dimensional local field
    in book Rings and modules. Limit theorems of probability theory. 2
    LGU, Leningrad,1988, 39-50 (Russian)
  20. Boris Bekker and Sergei Vostokov
    An algebraic approach to the implicit funcion theorem Ordered spaces and operator equations.
    Syktyvkar Gos. Univ. vol 163, 1989, 109-112 (Russian)
  21. The norm property of the Hilbert pairings
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) vol 175,1989,30-45 (Russian)
    translation J. Soviet Math. vol 57,1991, issue 6, 3462-3472
  22. D. G. Benois and S. V. Vostokov
    Norm pairing in formal groups and Galois representations
    Algebra i Analiz, vol 2, issue 6,1990,69-97 (Russian)
    translation Leningrad Math. J. vol 2, 1991, issue 2, 1221-1249
  23. S. V. Vostokov, I. B. Zhukov and I. B. Fesenko
    On the theory of multidimensional local fields. Methods and constructions
    Algebra i Analiz, vol 2, issue 4, 1990, 91-118 (Russian)
    translation Leningrad Math. J. vol 2,1991, issue 4,775-800
  24. S. V. Vostokov and I. B. Fesenko
    Basic concepts in class field theory and reciprocity laws
    Mathematics today '90. "Vishcha Shkola", Kiev vol 6, 1990, 8-31 (Russian)
  25. On an elementary Abelian p-extension of a multidimensional local field
    Trudy Mat. Inst. Steklova, vol 183,1990, 50-60 (Russian)
    translation Proc. Steklov Inst. Math. vol 183, 1991, 53-64
  26. D. G. Benois and S. V. Vostokov
    Arithmetic of a group of points of a formal group
    Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) vol 191, 1991, 9-23 (Russian)
    translation J. Soviet Math. vol 63, 1993, issue 6, 612-621
  27. D. G. Benois and S. V. Vostokov
    Sur les represetations p-adiques des corps locaux multidimensionnels attache's aux groupes formels
    J. fuer die reine und ang. Math. vol 437, 1993, 131-166
  28. On $p$-extensions of multidimensional local fields
    Math. Nachrichten vol 160, 1993, 59-68
  29. S. V. Vostokov and I. B. Fesenko
    Elliptic curves and formal groups
    Mathematics today '93. "Vishcha Shkola", Kiev, vol 8, 1993, 9-33 (Russian)
  30. Ivan Fesenko and Sergei Vostokov
    book: Local field and their extensions: A constructive approach.
    AMS, Providence, RI, 1993
  31. D. G. Benois and S. V. Vostokov
    Galois represenations in Honda's form al groups. Arithmetic of the group of points.
    Trudy Sankt-Peterb. Mat. Obschestva, vol 2,1994,42-58 (Russian)
    translation Amer. Math. Soc. Transl. vol 159, 1994, 1-14
  32. The pairing on $K$-groups in fields of valuation of rank $n$
    Trudy Sankt-Peterb. Mat. Obschestva, vol 3, 1995,140-184 (Russian)
    translation Amer. Math. Soc. Transl., Ser. 2, vol 165, 1995, 111-148
  33. S. V. Vostokov and I. B. Zhukov
    Some approaches to the construction of abelian extensions for $\frak p$-adic fields
    Trudy Sankt-Peterb. Mat. Obschestva, vol 3, 1995, pages 194-214 (Russian)
    translation Amer. Math. Soc. Transl., Ser. 2, vol 165, 1995,157-174
  34. S. V. Vostokov and O. V. Demchenko
    Explicit form of Hilbert pairing for relative Lubin-Tate formal groups
    Zap. Nauchn. Sem. POMI, vol 227, 1995, 41-44 (Russian)
    translation J. Math. Sci.vol 89, 1998 , issue 2 , 1105-1107
  35. S. V. Vostokov and A. N. Gurevich
    Relation between Hilbert symbol and Witt symbol
    Zap. Nauchn. Sem. POMI, vol 227, 1995, 45-51 (Russian)
    translation J.Math. Sci. vol 89 , 1998 , issue 2, 1108-1112
  36. Hilbert pairing on a multidimensional complete field
    Trudy Mat. Inst. Steklova, vol 208,1995, pages 80-92 (Russian)
    translation Proc. of the Steklov Inst. of Math. vol 208, 1995, pages 72-83
  37. S. V. Vostokov and I. B. Zhukov
    On certain extensions of two-dimensional local fields
    in book: International algebraic conference dedicated to the memory of D.K.Faddeev, St.Petersburg, 1997
  38. M. V. Bondarko, S. V. Vostokov and I. B. Zhukov
    Additive Galois modules in discrete valuation fields Algebra i Analiz, vol 9, issue 4, 1997, pages 28-46 (Russian)
    translation St. Petersburg Math. J. vol 9,issue 4, 1998, pages 675-693
  39. Comment to the work of D.Hilbert "\"Uber den Dirichletschen biquadratischen Zahlk\"orper"
    in book:Izbrannye trudy D.Hilbert (Russian) "Faktorial" Press, Moscow,1998, 227-231
  40. Comment to the work of D.Hilbert "\"Uber die Theorie der relativ-Abelschen Zahlk\"orper"
    in book:Izbrannye trudy D.Hilbert (Russian) "Faktorial" Press, Moscow,1998, 231-237
  41. M. V. Bondarko, S. V. Vostokov
    Decomposability of ideals in abelian $p$-extensions of complete discrete valuation fields
    Zap. Nauchn. Sem. POMI vol 236, 1998, 23-33 (Russian)
    translation J.Math.Sci. vol 95, 1999, issue 2, 2058-2064
  42. M. V. Bondarko and S.V.Vostokov
    Isomorphisms of ideals as Galois modules in complete discrete valuation fields with residue field of positive characteristics
    Trudy Sankt-Peterb. Mat. Obshchestva vol 6, 1998, pages 141-150
  43. M. V. Bondarko, S. V. Vostokov
    Decomposability of ideals as Galois modules in complete discrete valuation fields
    Algebra i Analiz, vol 11, 1999, issue 2, pages 41-63
  44. B. Bekker, Y. Ionin and S. Vostokov
    $2$-adic numbers
    Quantum, vol 9, 1999, issue 6, pages22-26
  45. M. V. Bondarko, K. F. Lai and S.V.Vostokov
    Galois structure for Abelian $p$-extensions of Dedekind domains,
    J. f\"ur die reine und angew. Math. vol 517, 1999, 51-59
  46. M.V.Bondarko and S.V.Vostokov
    Additive Galois Modules of Dedekind domains. Decomposibility
    Algebra i Analiz vol 11, 1999, 4, 103-121 (Russian)
    translation St.Petersburg Math. J.vol 11,2000
  47. Explicit formulas for the Hilbert symbol
    in book: Invitation to higher local fields (Muenster) Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry,(electronic), 1999/2000, 78-89
  48. S.V.Vostokov, I.B.Zhukov and G.K.Pak
    Extensions with almost maximal depth of ramification
    Zap.Nauchn.Sem.POMI, vol 265, 2000, pages 71-109 (Russian)
    translation J.Soviet Math. vol 112, 2002, issue 3, 4285-4302
  49. S.V.Vostokov and O.V.Demchenko
    Explicit formulae of the Hilbert pairing for Honda formalgroups
    jour Zap.Nauchn.Sem.POMI, vol 272, 2000, 86-128 (Russian)
    translation J.Soviet Math. vol 116, 2003, issue 1, 2926-2952
  50. Ivan Fesenko and Sergei Vostokov
    Local fields and their extensions. With a foreword by I. R. Shafarevich. Second edition.
    Translations of Mathematical Monographs, 121. American Mathematical Society, Providence, RI, xii+345 pp. ISBN: 0-8218-3259-X,2002
  51. Falko Lorenz and Sergei Vostokov
    Honda groups and explicit pairing on the modules of Cartier curves
    in book: Algebraic Number Theory and Algebraic Geometry Contemporary Mathematics 300, Parshin Festschrift * Vostokov and Zarhin, Editors, AMS, Providence, Rhode Island, 2002,143-170
  52. M.V.Bondarko and S.V.Vostokov
    Explicit classification of formal groups in local fields
    Trudy Mat.Institut Steklov, vol 241, 2003, 43-67 (Russian)
    translation J.Soviet Mathematics, vol 241, 2003
  53. S.V.Vostokov and F.Lorenz
    An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field
    Mthematicheski Sbornik, vol 194, issue 2, 2003, 3-36 (Russian)
    translation Sbornik: Mathematics, vol 194, 2003, issue 2, 165-197



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