Skip to main content
SpringerLink
Log in

On height functions on Jacobian surfaces

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract:

The canonical height on an abelian variety is useful and important for the study of the Mordell-Weil group. But it is difficult to calculate the canonical height in general. We give an effective method to calculate the canonical height on a Jacobian surface. As an application, we verify the Birch-Swinnerton-Dyer conjecture for the Jacobian surface of a twisted modular curve.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-01, Japan. e-mail: yositomi@kusm.kyoto-u.ac.jp, , , , , , JP

    Kentaro Yoshitomi

Authors
  1. Kentaro Yoshitomi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 15 July 1996 / Revised version: 19 January 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yoshitomi, K. On height functions on Jacobian surfaces . manuscripta math. 96, 37–66 (1998). https://doi.org/10.1007/s002290050053

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002290050053

Search

Navigation