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

Rahim Moosa, Thomas Scanlon

math.LOarXiv:math/0205196

Abstract

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 result for certain modules over finite simple extensions of the integers given together with predicates for orbits of the distinguished generator of the ring.

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