Zobrazeno 1 - 10
of 11
pro vyhledávání: '"O. N. Vvedenskiĭ"'
Autor:
O N Vvedenskiĭ
Publikováno v:
Mathematics of the USSR-Izvestiya. 12:225-246
In this paper the author constructs and investigates the nondegeneracy of pairings in the Galois cohomology of objects naturally attached to an elliptic curve defined over a global field. He constructs a series of curves over a global function field
Autor:
O N Vvedenskiĭ
Publikováno v:
Mathematics of the USSR-Izvestiya. 18:19-40
This paper gives a criterion for the occurrence of the Artin effect in abelian varieties over a base field which is sufficiently large with respect to the variety. Bibliography: 18 titles.
Autor:
O N Vvedenskiĭ
Publikováno v:
Mathematics of the USSR-Izvestiya. 10:913-936
In this paper, we consider those elliptic curves defined over a quasi-local field with all finite Galois cohomology finite. The main result is the extension, with preservation of nondegeneracy of Safarevic-Ogg pairing for curves of the given class, t
Autor:
O N Vvedenskiĭ
Publikováno v:
Mathematics of the USSR-Izvestiya. 15:277-288
In this paper we give criteria for the occurrence of an infinite group for an elliptic curve with nonzero Hasse invariant defined over a quasi-global field of characteristic which is sufficiently large with respect to the curve. Bibliography: 21 titl
Autor:
O N Vvedenskiĭ
Publikováno v:
Mathematics of the USSR-Izvestiya. 7:19-84
In this paper a method is given for computing the Tate-Safarevic pairing on elliptic curves for simple cyclic extensions. With this foundation the properties of the Tate-Safarevic pairing are investigated over both a local field and a general local f
Autor:
O. N. Vvedenskiĭ
Publikováno v:
Seven Papers on Algebra, Algebraic Geometry and Algebraic Topology. :195-216
Autor:
O N Vvedenskiĭ
Publikováno v:
Mathematics of the USSR-Izvestiya. 7:733-747
In this paper we prove that the group of universal norms of a formal group corresponding to an elliptic curve of one of the three main types defined over a quasilocal field [11] is trivial. Applications are also indicated.Bibliography: 12 items.
Autor:
O. N. Vvedenskiĭ
Publikováno v:
Thirteen Papers on Algebra, Topology, Complex Variables, and Linear Programming. :135-167