On the rank of 2-primary part of Selmer group of certain elliptic curves

Title: On the rank of 2-primary part of Selmer group of certain elliptic curves
Identifier: d_2009_2013:ed74410866c8:11425
identifier: 11830
Creator: Kim, Kwang Hyun,
Contributor: Victor Kolyvagin
Date: 2012
Language: English
Publisher: City University of New York.
Subject: Mathematics | 2 primary | BSD | rank | Selmer group
Abstract: Kolyvagin proved very remarkable results on Mordell-Weil groups and Shafarevich-Tate groups of certain elliptic curves when a given Heegner point P K has infinite order in his series of papers. He also extended his result to odd prime &ell;-primary part of Selmer group of higher rank with the assumption of existence of non-trivial Kolyvagin system. In this thesis, we will follow his Euler system method and verify that his method also works to prove the result on the rank of 2-primary part of Selmer group of higher rank with Strong non-zero conjecture.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Mathematics

Media: On the rank of 2-primary part of Selmer group of certain elliptic curves