On the average number of rational points of bounded height on hyperelliptic curves

DOI10.1007/S13366-011-0050-XzbMath1239.14017OpenAlexW1964267530MaRDI QIDQ664217

Albertas Zinevičius

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0050-x

zbMATH Keywords

heightrational pointshyperelliptic curvesdensity

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45)

Related Items (3)

The distribution of points on curves over finite fields in some small rectangles ⋮ How many integer homogeneous polynomials at small coprime integers have value of a univariate polynomial? ⋮ More points than expected on curves over finite field extensions

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Uniformity of rational points

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