Abelian l-Adic Representations and Elliptic Curves / Edition 3

Abelian l-Adic Representations and Elliptic Curves / Edition 3

by Jean-Pierre Serre
     
 

ISBN-10: 1568810776

ISBN-13: 9781568810775

Pub. Date: 11/15/1997

Publisher: Taylor & Francis

This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one finds a nice

Overview

This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one finds a nice correspondence between the l-adic representations and the linear representations of some algebraic groups (now called Taniyama groups). The last chapter handles the case of elliptic curves with no complex multiplication, the main result of which is that the image of the Galois group (in the corresponding l-adic representation) is "large."

Product Details

ISBN-13:
9781568810775
Publisher:
Taylor & Francis
Publication date:
11/15/1997
Series:
Research Notes in Mathematics Series, #7
Edition description:
REVISED
Pages:
208
Product dimensions:
6.23(w) x 9.29(h) x 0.72(d)

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