Habegger, Philipp. (2013) Special points on fibered powers of elliptic surfaces. Journal für die reine und angewandte Mathematik, 685. pp. 143-179.
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Abstract
Consider a fibered power of an elliptic surface. We characterize its subvarieties that contain a Zariski dense set of points that are torsion points in fibers with complex multiplication. This result can be viewed as a mix of the Manin–Mumford and André–Oort Conjecture and is related to a conjecture of Pink. The main technical tool is a new height inequality. We also use it to give another proof of a case of Gubler's result on the Bogomolov Conjecture over function fields.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger) |
|---|---|
| UniBasel Contributors: | Habegger, Philipp |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | De Gruyter |
| ISSN: | 0075-4102 |
| e-ISSN: | 1435-5345 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 26 Jan 2018 14:23 |
| Deposited On: | 26 Jan 2018 14:23 |
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