Trivial points on towers of curves

Xavier Xarles

doi:10.5802/jtnb.845

Trivial points on towers of curves

Xavier Xarles

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación

2 Citas (Scopus)

Resumen

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.

Título traducido de la contribución	Trivial points on towers of curves
Idioma original	Múltiples idiomas
Páginas (desde-hasta)	477-498
Publicación	Journal de Theorie des Nombres de Bordeaux
Volumen	25
N.º	2
DOI	https://doi.org/10.5802/jtnb.845
Estado	Publicada - 1 ene 2013

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Trivial points on towers of curves

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