Sökning: "weak Mordell-Weil"
Hittade 1 uppsats innehållade orden weak Mordell-Weil.
1. Scheme Theory & Weak Mordell-Weil for Elliptic Curves Over Number Fields
Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)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
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