IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i9p1274-d1381065.html
   My bibliography  Save this article

Joins, Secant Varieties and Their Associated Grassmannians

Author

Listed:
  • Edoardo Ballico

    (Department of Mathematics, University of Trento, 38123 Povo, TN, Italy
    The author is a member of GNSAGA of INdAM (Italy).)

Abstract

We prove a strong theorem on the partial non-defectivity of secant varieties of embedded homogeneous varieties developing a general set-up for families of subvarieties of Grassmannians. We study this type of problem in the more general set-up of joins of embedded varieties. Joins are defined by taking a closure. We study the set obtained before making the closure (often called the open part of the join) and the set added after making the closure (called the boundary of the join). For a point q of the open part, we give conditions for the uniqueness of the set proving that q is in the open part.

Suggested Citation

  • Edoardo Ballico, 2024. "Joins, Secant Varieties and Their Associated Grassmannians," Mathematics, MDPI, vol. 12(9), pages 1-20, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1274-:d:1381065
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/9/1274/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/9/1274/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:12:y:2024:i:9:p:1274-:d:1381065. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.