Lectures on the Mordell-Weil Theorem. Authors: Serre, Jean Pierre. Buy this book . eBook 40,00 €. price for Spain (gross). Buy eBook. ISBN : Lectures on the Mordell-Weil Theorem (Aspects of Mathematics) ( ): Jean-P. Serre, Martin L. Brown, Michel Waldschmidt: Books. This is a translation of “Auto ur du theoreme de Mordell-Weil,” a course given by J . -P. Serre at the College de France in and These notes were.

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Professor, just want to mention a small thoerem I read in the proof by Manin. This group is related to the Selmer group. There are other ways, e.

Lectures on the Mordell-Weil Theorem

In fact, here are my notes for the course: By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Sign up using Facebook. Lectires is a very elementary and self-contained modulo a few things proved earlier in the book proof in Chapter 19 of the book of Ireland and Rosen, “A classical introduction to modern number theory”.


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Lectures on the Mordell-Weil Theorem : Jean-Pierre Serre :

This gives the following simplifications: Heights – Nomalized heights – The Mordell-Weil theorem – Mordell’s conjecture – Local calculation of normalized heights – Siegel’s method – Baker’s method – Hilbert’s irreducibility theorem – Construction of Galois extensions – Construction of elliptic curves of large rank – The large sieve – Applications of the large sieve to thin sets.

Serre at the College de France in and Another text at the undergraduate level that covers Mordell’s theorem i. Chevalley-Weil, but I decided to bypass them for various reasons. Clark Oct 29 ’12 at See also his masterly survey Diophantine equations with special reference to elliptic curves J.

I am currently teaching a course on elliptic curves, primarily out of Silverman’s first text which is, of course, wonderful. Yuri Zarhin 4, 14 He makes a beeline to Mordell-Weil and gives a simple, but not overly computational proof, in an impressively short span of pages.

There is a very affordable book by Milne Elliptic curvesBookSurge Publishers, Charleston, and a very motivating one by Koblitz Introduction to elliptic curves and modular formsSpringer, New York, Skill, Technology and Enlightenment: Tate “The rational morfell-weil on elliptic curves” is a wonderful introduction to elliptic curves over rational numbers.


Clark Aug 7 ’11 at Description The book is based on a course given by J. Home Questions Tags Users Unanswered.

For the case of elliptic curves, there is Mordell’s proof, discussed in his book Diophantine Equations pp. I do not really understand his reasoning.

I could hardly imagine less prerequisites than this. Weil’s generalization of Mordell’s theorem and subsequent generalizations was usually referred to as the Mordell-Weil Theorem.

aic geometry – Proofs of Mordell-Weil theorem – MathOverflow

Goodreads is the world’s largest site for readers with over 50 million reviews. Which is why I said “might” levtures “can” I cleaned up the wikipedia link.

You should be able to find what you want in online lecture notes. We use cookies to give you the best possible experience.