Bounds for the number of rational points on curves over function fields

Amíılcar Pacheco, Mehdi Fabien Pazuki

Abstract

We provide an upper bound for the number of rational points on a nonisotrivial curve defined over a one variable function field over a finite field. The bound only depends on the curve and the field, and not on the Jacobian variety of the curve.

OriginalsprogEngelsk
TidsskriftNew York Journal of Mathematics
Vol/bind19
Sider (fra-til)131-144
ISSN1076-9803
StatusUdgivet - 2013
Udgivet eksterntJa

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