IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4614-1260-1_28.html
   My bibliography  Save this book chapter

Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation

In: Number Theory, Analysis and Geometry

Author

Listed:
  • Paul Vojta

    (University of California, Department of Mathematics)

Abstract

This paper states a conjecture for Nevanlinna theory or diophantine approximation, with a sheaf of ideals in place of the normal crossings divisor. This is done by using a correction term involving a multiplier ideal sheaf. This new conjecture trivially implies earlier conjectures in Nevanlinna theory or diophantine approximation, and in fact is equivalent to these conjectures. Although it does not provide anything new, it may be a more convenient formulation for some applications.

Suggested Citation

  • Paul Vojta, 2012. "Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation," Springer Books, in: Dorian Goldfeld & Jay Jorgenson & Peter Jones & Dinakar Ramakrishnan & Kenneth Ribet & John Tate (ed.), Number Theory, Analysis and Geometry, edition 127, pages 647-658, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1260-1_28
    DOI: 10.1007/978-1-4614-1260-1_28
    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:978-1-4614-1260-1_28. 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.