IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-87942-5_11.html

The Conjectures of Birch and Swinnerton-Dyer, and of Tate

In: Proceedings of a Conference on Local Fields

Author

Listed:
  • P. Swinnerton-Dyer

Abstract

In the last few years, it has become increasingly evident that the study of the zeta-function of an algebraic variety can yield valuable information about that variety, some of which cannot easily be obtained in any other way. Most of this information is number-theoretic — that is to say, it refers to objects which depend on the ground field and which are only of interest when the ground field is finitely generated. But some of it refers to objects, such as the Néron-Severi group, which are also of interest to classical algebraic geometers — and about which classical algebraic geometry has little to say.

Suggested Citation

  • P. Swinnerton-Dyer, 1967. "The Conjectures of Birch and Swinnerton-Dyer, and of Tate," Springer Books, in: T. A. Springer (ed.), Proceedings of a Conference on Local Fields, pages 132-157, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-87942-5_11
    DOI: 10.1007/978-3-642-87942-5_11
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-642-87942-5_11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.