Eliptičke krivulje i Mordel-Weilov teorem

Dražić, Goran (2015) Eliptičke krivulje i Mordel-Weilov teorem. Diploma thesis, Faculty of Science > Department of Mathematics.

[img]
Preview
PDF
Language: Croatian

Download (311kB) | Preview

Abstract

The Mordell–Weil theorem states that for an abelian variety A over a number field K, the group A(K) of K-rational points of A is a finitely-generated abelian group, called the Mordell-Weil group. The case with A an elliptic curve E and K the rational number field Q is Mordell’s theorem, answering a question apparently posed by Poincaré around 1908; it was proved by Louis Mordell in 1922. In this paper we prove Mordell’s theorem for elliptic curves on number fields K.

Item Type: Thesis (Diploma thesis)
Supervisor: Kazalicki, Matija
Date: 2015
Number of Pages: 39
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 07 Oct 2015 11:06
Last Modified: 07 Oct 2015 11:06
URI: http://digre.pmf.unizg.hr/id/eprint/4140

Actions (login required)

View Item View Item