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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Book ratings by Goodreads. Actually, the wikipedia article you cite cites Joe Silverman’s book, which contains such a “pedagogical” exposition. The construction of the height paring can be found in Hindry-Silverman, or in [Brian Conrad, http: Mordell-eeil more advanced treatment of Mordell-Weil, Lcetures suggest the following textbook: Heights – Nomalized heights – The Mordell-Weil theorem – Mordell’s conjecture – Morcell-weil 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.
Capacities in Complex Anaylsis Urban Cegrell. What parts of number theory algebraic geometry one should better learn first before starting to read a proof of Mordell-Weil?
Lectures on the Mordell-Weil theorem – Jean-Pierre Serre – Google Books
He makes a beeline to Mordell-Weil and gives a simple, but not overly computational proof, in an impressively short span of pages. Sign up using Facebook.
I cleaned up the wikipedia link. I wanted to comment that, apart from different emphases on various parts or a thw of heavy machinery vs computation, these are all the same proof.
Of course it is still “pedagogical”, but it seems that the OP is looking for something with minimal prerequisites.
Lectures on the Mordell-Weil Theorem
This gives the following simplifications: For elliptic curves over a number field, you need to know the finiteness of the class number and the finite generation of the group of units basic facts in algebraic number theory. There are other ways, e. Rational Points Gerd Faltings. I wonder if there is a really different proof of MW.
Lectures on the Mordell-Weil Theorem : Jean-Pierre Serre :
Here is a quote from this last paper: You should be able to find what you want in online lecture notes. In fact, here are my notes for the course: Elkies Aug 7 ’11 at Post as a guest Name.
Skill, Technology mordeell-weil Enlightenment: Home Questions Tags Users Unanswered. Silverman “The arithmetic of elliptic curves” Chapter 8 is about Mordell-Weil.
On Practical Philosophy Bo Goranzon. Silverman devotes an entire chapter to elliptic curves over local fields and another entire chapter to formal groups, to prove the key fact that the kernel of reduction contains no torsion of order prime to the residue characteristic. Chevalley-Weil, but I decided to bypass them for various reasons.
Home Contact Us Help Free delivery worldwide. Check out the top books of the year on our page Best Books of Number Theory and Cryptography” see Chapter 8. Sign up using Email and Password. Included are applications to, for example, Mordell’s conjecture, the construction of Galois extensions, and the classical class number 1 problem.
Eventually it was translated into English and published as an appendix to Second and Third editions of Mumford’s book.