Download E-books Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) PDF

By Jean-Pierre Serre

This vintage e-book includes an advent to platforms of l-adic representations, a subject matter of significant value in quantity idea and algebraic geometry, as mirrored via the awesome fresh advancements at the Taniyama-Weil conjecture and Fermat's final Theorem. The preliminary chapters are dedicated to the Abelian case (complex multiplication), the place one reveals a pleasant correspondence among the l-adic representations and the linear representations of a few algebraic teams (now referred to as Taniyama groups). The final bankruptcy handles the case of elliptic curves without advanced multiplication, the most results of that is that a dead ringer for the Galois crew (in the corresponding l-adic illustration) is "large."

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