Unlikely intersections for curves in additive groups over positive characteristic

Brownawell, W. Dale and Masser, David. (2016) Unlikely intersections for curves in additive groups over positive characteristic. Preprints Fachbereich Mathematik, 2016 (30).

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The conjectures associated with the names of Zilber-Pink greatly generalize results associated with the names of Manin-Mumford and Mordell-Lang, but unlike the latter they are at present restricted to zero characteristic. Recently the second author made a start on removing this restriction by studying multiplicative groups over positivecharacteristic, and here we go further for additive groups with extra Frobenius structure. We state a conjecture for curves in general dimension and we prove it in three dimensions. We also give an example where the finite set in question can be explicitly determined.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Masser, David
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:20 Apr 2019 21:55
Deposited On:28 Mar 2019 09:51

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