Definition of Kolyvagin. Meaning of Kolyvagin. Synonyms of Kolyvagin

- Victor Alexandrovich Kolyvagin (Russian: Виктор Александрович Колывагин, born 11 March, 1955) is a Russian mathematician who wrote a series of papers...
- 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...
- Drinfeld, Mikhail Kapranov, Vyacheslav Shokurov, Ralph Kaufmann, Victor Kolyvagin, Alexander A. Voronov, and Hà Huy Khoái. Manin died on 7 January 2023...
- 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...
- elliptic curves of rank at most 1 with complex multiplication. Victor A. Kolyvagin extended this to modular elliptic curves over the rationals of analytic...
- modular abelian varieties (Zhang 2001, 2004, Yuan, Zhang & Zhang 2009). Kolyvagin later used Heegner points to construct Euler systems, and used this to...
- as a corollary of their work on the main conjecture of Iwasawa theory. Kolyvagin (1990) later gave a simpler proof using Euler systems. A version of the...
- 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...