Rational points on some hyper- and superelliptic curves

Andrew Bremner; MacIej Ulas

doi:10.1142/S1793042111003946

Rational points on some hyper- and superelliptic curves

Andrew Bremner, MacIej Ulas

CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article › peer-review

Abstract

We construct families of certain hyper- and superelliptic curves that contain a (small) number of rational points. This leads to lower bounds for the ranks of Jacobians of certain high genus curves.

Original language	English (US)
Pages (from-to)	115-132
Number of pages	18
Journal	International Journal of Number Theory
Volume	7
Issue number	1
DOIs	https://doi.org/10.1142/S1793042111003946
State	Published - Feb 2011

Keywords

Hyper- and superelliptic curves
rank of Jacobian
rational points

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S1793042111003946

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Rational points on some hyper- and superelliptic curves

Abstract

Keywords

ASJC Scopus subject areas

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