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Victor Alexandrovich Kolyvagin (Russian: Виктор Александрович Колывагин, born 11 March, 1955) is a
Russian mathematician who
wrote a
series of papers...
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introduced by
Kolyvagin (1990) in his work on
Heegner points on
modular elliptic curves,
which was
motivated by his
earlier paper Kolyvagin (1988) and the...
- for the
order of a
particular group: the
Euler system used to
extend Kolyvagin and Flach's
method was incomplete. The
error would not have
rendered his...
- techniques, and
discovered an
Euler system recently developed by
Victor Kolyvagin and
Matthias Flach that
seemed "tailor made" for the
inductive part of...
- it has a
rational point of
infinite order; see Gross–Zagier theorem.
Kolyvagin (1989)
showed that a
modular elliptic curve E for
which L(E, 1) is not...
- Drinfeld,
Mikhail Kapranov,
Vyacheslav Shokurov,
Ralph Kaufmann,
Victor Kolyvagin,
Alexander A. Voronov, and Hà Huy Khoái.
Manin died on 7
January 2023...
- Tate 1958.
Shafarevich 1959. Lind 1940.
Selmer 1951.
Rubin 1987.
Kolyvagin 1988.
Kolyvagin, V. A. (1991), "On the
structure of shafarevich-tate groups",...
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modular abelian varieties (Zhang 2001, 2004, Yuan,
Zhang & Zhang 2009).
Kolyvagin later used
Heegner points to
construct Euler systems, and used this to...
-
number formula and
solved it,
among other matters, all
using Victor Kolyvagin's ideas as a
basis for
fixing Matthias Flach's
approach with
Iwasawa theory...
-
elementary proof of the Mazur–Wiles
theorem by
using Thaine's
method and
Kolyvagin's Euler systems,
described in Lang (1990) and
Washington (1997), and later...
