• D

F Nous contacter

0

Documents  11G35 | enregistrements trouvés : 2

O

Sélection courante (0) : Tout sélectionner / Tout déselectionner

P Q

Post-edited  Bounds for the number of rational points on curves over global fields Pazuki, Fabien (Auteur de la Conférence) | CIRM (Editeur )

Rational points on smooth projective curves of genus $g \ge 2$ over number fields are in finite number thanks to a theorem of Faltings from 1983. The same result was known over function fields of positive characteristic since 1966 thanks to a theorem of Samuel. The aim of the talk is to give a bound as uniform as possible on this number for curves defined over such fields. In a first part we will report on a result by Rémond concerning the number field case and on a way to strengthen it assuming a height conjecture. During the second part we will focus on function fields of positive characteristic and describe a new result obtained in a joined work with Pacheco. Rational points on smooth projective curves of genus $g \ge 2$ over number fields are in finite number thanks to a theorem of Faltings from 1983. The same result was known over function fields of positive characteristic since 1966 thanks to a theorem of Samuel. The aim of the talk is to give a bound as uniform as possible on this number for curves defined over such fields. In a first part we will report on a result by Rémond concerning the ...

Multi angle  Differential descent obstructions Voloch, José Felipe (Auteur de la Conférence) | CIRM (Editeur )

We will discuss a new obstruction to the existence of rational and integral points on algebraic varieties over function fields obtained by considering covers described by differential equations.

Codes MSC

Nuage de mots clefs ici

Z