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On torsion of abelian varieties over large algebraic extensions of finitely generated fields

Part of: Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  26 February 2010

Marcel Jacobson  and
Moshe Jarden
Marcel Jacobson
Affiliation:
School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, 69978, Israel.
Moshe Jarden
Affiliation:
School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, 69978, Israel.
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Extract

The following theorem is proved in [2[.

Let K be a finitely generated field over its prime field. Then for almost all e-tuples σ = (σ1, …, σe) of elements of the abstract Galois group G(K) of K and for all elliptic curves E defined over the following results hold.

MSC classification

Secondary: 14G05: Rational points
Type
Research Article
Information
Mathematika , Volume 31 , Issue 1 , June 1984 , pp. 110 - 116
Copyright
Copyright © University College London 1984

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References

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