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Start Over Author "Bandini, Andrea" Topic abelian varieties Topic mathematical functions

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1. On Selmer groups of abelian varieties over ℓ-adic Lie extensions of global function fields.

Author

Bandini, Andrea and Valentino, Maria

Subjects
*GROUP theory, *ABELIAN varieties, *LIE groups, *MATHEMATICAL functions, *ALGEBRAIC field theory, *SET theory
Abstract

Let F be a global function field of characteristic p > 0 and A/F an abelian variety. Let K/F be an ℓ-adic Lie extension ( ℓ ≠ p) unramified outside a finite set of primes S and such that Gal( K/F) has no elements of order ℓ. We shall prove that, under certain conditions, Sel( K) has no nontrivial pseudo-null submodule. [ABSTRACT FROM AUTHOR]

Published
2014
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