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.File in questo prodotto:
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