Sökning: "weak Mordell-Weil"

Hittade 1 uppsats innehållade orden weak Mordell-Weil.

  1. 1. Scheme Theory & Weak Mordell-Weil for Elliptic Curves Over Number Fields

    Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Carl-Fredrik Lidgren; [2021]
    Nyckelord :algebraic geometry; schemes; scheme theory; elliptic curves; Mordell-Weil; weak Mordell-Weil; algebraic number theory; arithmetic geometry; number theory; geometry; Mathematics and Statistics;

    Sammanfattning : We provide an introduction to scheme-theoretic algebraic geometry, which studies spaces that are in essence locally solutions to systems of polynomial equations, and prove the weak Mordell-Weil theorem. The weak Mordell-Weil theorem states that for an elliptic curve $E$ over a number field $K$, the quotient $E(K)/mE(K)$ is finite for all $m\geq 2$. LÄS MER