On torsion anomalous intersections
2014 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Checcoli, Sara; Veneziano, Francesco; Viada, Evelina
- Abstract
- A deep conjecture on torsion anomalous varieties states that if V is a weak-transverse variety in an abelian variety,. then the complement V-ta of all V-torsion anomalous varieties is open and dense in V. We prove some cases of this conjecture. We show that the V-torsion anomalous. varieties of relative codimension one are non-dense in any weak-transverse variety V embedded in a product of elliptic curves with CM. We give explicit uniform bounds in the dependence on V. As an immediate consequence we prove the conjecture for V of codimension two in a product of CM elliptic curves. We also point out some implications on the effective Mordell-Lang Conjecture .
- Issue Date
- 2014
- Status
- published
- Publisher
- European Mathematical Soc
- Journal
- Rendiconti Lincei - Matematica e Applicazioni
- ISSN
- 1720-0768; 1120-6330
- Sponsor
- SNSF (Swiss National Science Foundation)