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: Article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月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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