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.

Original languageEnglish
JournalNew York Journal of Mathematics
Volume19
Pages (from-to)131-144
ISSN1076-9803
Publication statusPublished - 2013
Externally publishedYes

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