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

Mathematics – Logic

Scientific paper

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33 pages, correction made to authors' information

Scientific paper

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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