l-adic representations associated to abelian varieties over number fields Deligne (cf. [52]) has proved that Hodge cohomology classes behave under the action of the Galois group as if they were algebraic, thus providing a very useful substitute for the still unproved Hodge conjecture.
introduce the notion of an l-adic representation in chapter 2 and proceed to lay out a method to construct a certain family of Abelian l-adic representa- tions.
Abelian l-Adic Representations and Elliptic Curves
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.
Abelian L'Adic Representations and Elliptic Curves (Advanced …
Jan 1, 1989 · An introduction to systems of l-adic representations, which is important in number theory and algebraic geometry. Covers Abelian case and the case of elliptic curves with no complex multiplication. Representations of groups.
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The theory of l-adic representations is an outgrowth of the study of abelian varieties in positive characteristic, which was initiated by Hasse and Deuring (see, e.g., [3], [1]) and continued in Weil’s 1948 treatise [12].
Abelian varieties, l-adic representations, and l-independence M. Larsen* and R. Pink Let A be an abelian variety of dimension g over a global field K. Let K¯ denote a separable closure of K. If ‘ is a rational prime distinct from the characteristic of K, the
Abelian l-Adic Representations and Elliptic Curves (Research …
Nov 15, 1997 · 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.
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Abelian L-adic representation and elliptic curves
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.
ABELIAN l -ADIC REPRESENTATIONS AND ELLIPTIC CURVES
By Jean-Pierre Serre: pp. xvi, 177, $3.95 (W. A. Benjamin, Inc., New York. 1968).
l-adic representations associated to abelian varieties over number fields Deligne ( cf. [52]) has proved that Hodge cohomology classes behave under the action of the Galois group as if they were algebraic, thus providing a very useful substitute for the still unproved Hodge conjecture.
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