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Timeline for Proofs of Mordell-Weil theorem

Current License: CC BY-SA 3.0

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Nov 12, 2012 at 23:23 comment added ACL This proof only considers elliptic curves over $\bf Q$ whose points of order 2 are $\bf Q$-rational. This gives the following simplifications: * the algebraic geometry of Abelian varieties is reduced as its minimum; * no algebraic number theory is required; * the height machine is elementary; * the Galois cohomology construction can be treated by hand. That's why the general proof is more complicated.
Oct 29, 2012 at 21:42 comment added zeb After reading this proof, I never understood why other proofs looked so complicated.
Oct 29, 2012 at 18:55 history edited Pete L. Clark CC BY-SA 3.0
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Aug 8, 2011 at 6:38 history answered ACL CC BY-SA 3.0