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arXiv · 1702.02635

On function field Mordell-Lang: the semiabelian case and the socle theorem

Franck Benoist·Elisabeth Bouscaren·Anand Pillay
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Abstract

We here aim to complete our model-theoretic account of the function field Mordell-Lang conjecture, avoiding appeal to dichotomy theorems for Zariski geometries, where we now consider the general case of semiabelian varieties. The main result is a reduction, using model-theoretic tools, of the semiabelian case to the abelian case.

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Franck Benoist, Elisabeth Bouscaren, Anand Pillay. 2017-02-08. On function field Mordell-Lang: the semiabelian case and the socle theorem. https://doi.org/10.1112/plms.12076

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