IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-96-1214-7_0.html
   My bibliography  Save this book chapter

Preliminaries

In: Enriques Surfaces I

Author

Listed:
  • François Cossec

    (Care of Dyah Rusmiasih)

  • Igor Dolgachev

    (University of Michigan–Ann Arbor, Department of Mathematics)

  • Christian Liedtke

    (Technische Universität München, Zentrum Mathematik - M11)

Abstract

In this chapter, we collect many results with a special view towards algebraic geometry over algebraically closed fields of positive characteristic. This includes construction techniques of algebraic varieties using group schemes, covers, and purely inseparable morphisms. We discuss rational double point singularities and after that, we turn to del Pezzo surfaces and two special subclasses, namely symmetroid surfaces. We discuss some general aspects of lattice theory and Picard schemes. We finally discuss various cohomology theories and give interpretations of cohomology groups of small degree. These results will be needed for the study of Enriques surfaces, but since many of these results are scattered over the literature and sometimes hard to find, we also provide references and give more background than needed later in the book.

Suggested Citation

  • François Cossec & Igor Dolgachev & Christian Liedtke, 2025. "Preliminaries," Springer Books, in: Enriques Surfaces I, edition 0, chapter 0, pages 1-198, Springer.
    • Handle: RePEc:spr:sprchp:978-981-96-1214-7_0
    DOI: 10.1007/978-981-96-1214-7_0
    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

    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:978-981-96-1214-7_0. 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.