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Preprint Number 1158

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1158. Franck Benoist, Elisabeth Bouscaren, Anand Pillay
On function field Mordell-Lang: the semiabelian case and the socle theorem

Submission date: 8 February 2017


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.

Mathematics Subject Classification: 03C45, 11G10, 03C60, 14G05, 12H05

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Full text arXiv 1702.02635: pdf, ps.

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