Distribution of rational points on hyperelliptic surfaces

Yasuo Morita, Atsushi Sato

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, we study distribution of rational points on a hyperelliptic surface defined over an algebraic number field, and show that this distribution is very similar to the distribution of rational points on an abelian surface. As an application, we show that a conjecture of Batyrev-Manin holds for such a surface.

Original languageEnglish
Pages (from-to)345-358
Number of pages14
JournalTohoku Mathematical Journal
Volume44
Issue number3
DOIs
Publication statusPublished - 1992 Sep
Externally publishedYes

Keywords

  • Heights
  • Hyperelliptic surfaces
  • Rational points

ASJC Scopus subject areas

  • Mathematics(all)

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