Abelian l-Adic Representations and Elliptic Curves: 1st Edition (Hardback) book cover

Abelian l-Adic Representations and Elliptic Curves

1st Edition

By Jean-Pierre Serre

A K Peters/CRC Press

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Hardback: 9781568810775
pub: 1997-11-15
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eBook (VitalSource) : 9780429063015
pub: 1997-11-15
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Description

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."

About the Series

Research Notes in Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT022000
MATHEMATICS / Number Theory