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Lectures on the Mordell-Weil Theorem [1989]

1
Summary
7
Heights
29
Normalised Heights
49
The Mordell-Weil Theorem
58
Mordell’s Conjecture
81
Local Calculation of Normalised Heights
94
Siegel’s Method
108
Baker’s Method
121
Hilbert’s Irreducibility Theorem
137
Construction of Galois Extensions
152
Construction of Elliptic Curves of Large Rank
163
The Large Sieve
177
Application of the Large Sieve to Thin Sets
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