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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
26
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Why should I believe the Mordell Conjecture?
I'm not an expert here, but reading J.S.Milne's notes on elliptic curves (available from his website), I noticed the following statement.
ASIDE 2.4 There is a heuristic
explanation for Mordell’s …