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math.LO2019
Generic expansion of an abelian variety by a subgroup
Christian d'Elbée
Let be an abelian variety in a field of characteristic . We prove that the expansion of by a generic divisible subgroup of with the same torsion exists provided …
math.LO2018
Generic Expansions by a Reduct
Christian d'Elbée
Consider the expansion of a theory by a predicate for a submodel of a reduct of . We present a setup in which this expansion admits a model companion . We sh…