Skip to content
Register Sign in Wishlist
Torsors, Étale Homotopy and Applications to Rational Points

Torsors, Étale Homotopy and Applications to Rational Points

$75.99 (C)

Part of London Mathematical Society Lecture Note Series

Jürgen Hausen, Tomer M. Schlank, Alexei N. Skorobogatov, Vera Serganova, Ivan V. Arzhantsev, Cyril Demarche, Ulrich Derenthal, Felix Janda, Philippe Gille, Laurent Moret-Bailly, David Harari, Elaine Herppich, Antonio Laface, Damiano Testa, Thomas Preu, Yonatan Harpaz
View all contributors
  • Date Published: June 2013
  • availability: In stock
  • format: Paperback
  • isbn: 9781107616127

$ 75.99 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent, and the Brauer-Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry.

    • Lecture notes will benefit those who wish to learn about the theory and application of torsors
    • Introduction to étale homotopy opens up new avenues for research
    • The research papers within are of interest to researchers in algebraic and arithmetic geometry
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: June 2013
    • format: Paperback
    • isbn: 9781107616127
    • length: 468 pages
    • dimensions: 227 x 151 x 24 mm
    • weight: 0.66kg
    • availability: In stock
  • Table of Contents

    List of contributors
    Preface
    Part I. Lecture Notes:
    1. Three lectures on Cox rings Jürgen Hausen
    2. A very brief introduction to étale homotopy Tomer M. Schlank and Alexei N. Skorobogatov
    3. Torsors and representation theory of reductive groups Vera Serganova
    Part II. Contributed Papers:
    4. Torsors over luna strata Ivan V. Arzhantsev
    5. Abélianisation des espaces homogènes et applications arithmétiques Cyril Demarche
    6. Gaussian rational points on a singular cubic surface Ulrich Derenthal and Felix Janda
    7. Actions algébriques de groupes arithmétiques Philippe Gille and Laurent Moret-Bailly
    8. Descent theory for open varieties David Harari and Alexei N. Skorobogatov
    9. Factorially graded rings of complexity one Jürgen Hausen and Elaine Herppich
    10. Nef and semiample divisors on rational surfaces Antonio Laface and Damiano Testa
    11. Example of a transcendental 3-torsion Brauer–Manin obstruction on a diagonal quartic surface Thomas Preu
    12. Homotopy obstructions to rational points Yonatan Harpaz and Tomer M. Schlank.

  • Editor

    Alexei N. Skorobogatov, Imperial College London
    Alexei Skorobogatov is a Professor of Pure Mathematics at Imperial College London. He is the author of Torsors and Rational Points (Cambridge University Press, 2001) and about 60 research papers on arithmetic and algebraic geometry and error-correcting codes. In 2001 he was awarded the Whitehead Prize by the London Mathematical Society.

    Contributors

    Jürgen Hausen, Tomer M. Schlank, Alexei N. Skorobogatov, Vera Serganova, Ivan V. Arzhantsev, Cyril Demarche, Ulrich Derenthal, Felix Janda, Philippe Gille, Laurent Moret-Bailly, David Harari, Elaine Herppich, Antonio Laface, Damiano Testa, Thomas Preu, Yonatan Harpaz

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×