Unlikely intersections for curves in additive groups over positive characteristic

Masser, David and Brownawell, W. D.. (2017) Unlikely intersections for curves in additive groups over positive characteristic. Proceedings of the American Mathematical Society, 145. pp. 4617-4627.

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Official URL: https://edoc.unibas.ch/59189/

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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 positive characteristic, 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)
UniBasel Contributors:Masser, David
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Mathematical Society
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:19 Oct 2018 14:16
Deposited On:19 Oct 2018 14:16

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