Shimura curves as intersections of humbert surfaces and defining equations of QM-curves of genus two

Ki Ichiro Hashimoto, Naoki Murabayashi

研究成果査読

35 被引用数 (Scopus)

抄録

Shimura curves classify isomorphism classes of abelian surfaces with quaternion multiplication. In this paper, we are concerned with a fibre space, the base space of which is a Shimura curve and fibres are curves of genus two whose jacobian varieties are abelian surfaces of the above type. We shall give an explicit defining equation for such a fibre space when the discriminant of the quaternion algebra is 6 or 10.

本文言語English
ページ(範囲)271-296
ページ数26
ジャーナルTohoku Mathematical Journal
47
2
DOI
出版ステータスPublished - 1995 6
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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