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Lectures on the Mordell-Weil Theorem [1989]
- 1
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Summary
- 7
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Heights
- 29
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Normalised Heights
- 49
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The Mordell-Weil Theorem
- 58
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Mordell’s Conjecture
- 81
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Local Calculation of Normalised Heights
- 94
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Siegel’s Method
- 108
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Baker’s Method
- 121
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Hilbert’s Irreducibility Theorem
- 137
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Construction of Galois Extensions
- 152
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Construction of Elliptic Curves of Large Rank
- 163
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The Large Sieve
- 177
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Application of the Large Sieve to Thin Sets