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cover of the book Lectures on the Mordell-Weil Theorem

Ebook: Lectures on the Mordell-Weil Theorem

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27.01.2024
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Content:
Front Matter....Pages I-X
Summary....Pages 1-6
Heights....Pages 7-28
Normalised Heights....Pages 29-48
The Mordell-Weil Theorem....Pages 49-57
Mordell’s Conjecture....Pages 58-80
Local Calculation of Normalised Heights....Pages 81-93
Siegel’s Method....Pages 94-107
Baker’s Method....Pages 108-120
Hilbert’s Irreducibility Theorem....Pages 121-136
Construction of Galois Extensions....Pages 137-151
Construction of Elliptic Curves of Large Rank....Pages 152-162
The Large Sieve....Pages 163-176
Application of the Large Sieve to Thin Sets....Pages 177-187
Back Matter....Pages 188-220



Content:
Front Matter....Pages I-X
Summary....Pages 1-6
Heights....Pages 7-28
Normalised Heights....Pages 29-48
The Mordell-Weil Theorem....Pages 49-57
Mordell’s Conjecture....Pages 58-80
Local Calculation of Normalised Heights....Pages 81-93
Siegel’s Method....Pages 94-107
Baker’s Method....Pages 108-120
Hilbert’s Irreducibility Theorem....Pages 121-136
Construction of Galois Extensions....Pages 137-151
Construction of Elliptic Curves of Large Rank....Pages 152-162
The Large Sieve....Pages 163-176
Application of the Large Sieve to Thin Sets....Pages 177-187
Back Matter....Pages 188-220
....
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