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 eq 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_A(K)_l^ee has no nontrivial pseudo-null submodule.

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

Andrea Bandini;
2014-01-01

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 eq 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_A(K)_l^ee has no nontrivial pseudo-null submodule.
2014
Bandini, Andrea; Valentino, Maria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/925080
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