Unlikely Intersections in Poincaré Biextensions over Elliptic Schemes
نویسنده
چکیده
the paper concerns the relations between the relative Manin-Mumford conjecture and Pink’s conjecture on unlikely intersections in mixed Shimura varieties. The variety under study is the 4-dimensional Poincaré biextension attached to a universal elliptic curve. A detailed list of its special subvarieties is drawn up, providing partial verifications of Pink’s conjecture in this case, and two open problems are stated in order to complete its proof.
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عنوان ژورنال:
- Notre Dame Journal of Formal Logic
دوره 54 شماره
صفحات -
تاریخ انتشار 2013