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Special points on fibered powers of elliptic surfaces
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Philipp Habegger
Veröffentlicht/Copyright:
30. März 2012
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.
Received: 2010-10-15
Revised: 2012-01-03
Published Online: 2012-03-30
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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- Existence and uniqueness of constant mean curvature spheres in
- Nilpotent operators and weighted projective lines
- Variation of the canonical height for a family of polynomials
- Purity for Pfister forms and F4-torsors with trivial g3 invariant
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- Special points on fibered powers of elliptic surfaces
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Artikel in diesem Heft
- Masthead
- Existence and uniqueness of constant mean curvature spheres in
- Nilpotent operators and weighted projective lines
- Variation of the canonical height for a family of polynomials
- Purity for Pfister forms and F4-torsors with trivial g3 invariant
- Higher genus minimal surfaces in S3 and stable bundles
- Minimal surfaces with limit ends in
- Special points on fibered powers of elliptic surfaces
- A motivic conjecture of Milne
