IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v293y2020i1p158-168.html
   My bibliography  Save this article

Unexpected curves and Togliatti‐type surfaces

Author

Listed:
  • Justyna Szpond

Abstract

The purpose of this note is to establish a direct link between the theory of unexpected hypersurfaces and varieties with defective osculating behavior. We identify unexpected plane curves of degree 4 as sections of a rational surface XB of degree 7 in P5 with its osculating spaces of order 2 which in every point of XB have dimension lower than expected. We put this result in perspective with earlier examples of surfaces with defective osculating spaces due to Shifrin and Togliatti. Our considerations are rendered by an analysis of Lefschetz Properties of ideals associated with the studied surfaces.

Suggested Citation

  • Justyna Szpond, 2020. "Unexpected curves and Togliatti‐type surfaces," Mathematische Nachrichten, Wiley Blackwell, vol. 293(1), pages 158-168, January.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:1:p:158-168
    DOI: 10.1002/mana.201800455
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.201800455
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.201800455?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    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:bla:mathna:v:293:y:2020:i:1:p:158-168. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0025-584X .

    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.