F-structures and integral points on semiabelian varieties over finite fields

R Moosa, T Scanlon - American Journal of Mathematics, 2004 - muse.jhu.edu
R Moosa, T Scanlon
American Journal of Mathematics, 2004muse.jhu.edu
Motivated by the problem of determining the structure of integral points on subvarieties of
semiabelian varieties defined over finite fields, we prove a quantifier elimination and stability
result for finitely generated modules over certain finite simple extensions of the integers
given together with predicates for cycles of the distinguished generator of the ring.
Motivated by the problem of determining the structure of integral points on subvarieties of semiabelian varieties defined over finite fields, we prove a quantifier elimination and stability result for finitely generated modules over certain finite simple extensions of the integers given together with predicates for cycles of the distinguished generator of the ring.
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