Abstract
In order to study the behavior of the points in a tower of curves, we introduce and study trivial points on towers of curves, and we discuss their finiteness over number fields. We relate the problem of proving that the only rational points are the trivial ones at some level of the tower, to the unboundeness of the gonality of the curves in the tower, which we show under some hypothesis. © Société Arithmétique de Bordeaux, 2013, tous droits réservés.
| Translated title of the contribution | Trivial points on towers of curves |
|---|---|
| Original language | Multiple languages |
| Pages (from-to) | 477-498 |
| Journal | Journal de Theorie des Nombres de Bordeaux |
| Volume | 25 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jan 2013 |