Book Search:  

 

 
Google full text of our books:

bookjacket

Hodge Theory (MN-49)
Edited by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths & Lê Dũng Tráng

Paperback | 2014 | $90.00 / £62.00 | ISBN: 9780691161341
608 pp. | 6 x 9 | 10 line illus.
| SHOPPING CART

eBook | ISBN: 9781400851478 |
Our eBook editions are available from these online vendors


Preface[PDF] pdf-icon | Chapter 1[PDF] pdf-icon | Table of Contents [PDF] pdf-icon

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn’t require a deep background. At the same time, the book presents some topics at the forefront of current research.

The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures.

The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê Dũng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu.

Eduardo Cattani is professor of mathematics at the University of Massachusetts, Amherst. Fouad El Zein is a researcher at the Institut de Mathématiques de Jussieu, Université de Paris VII. Phillip A. Griffiths is former director and professor emeritus of mathematics at the Institute for Advanced Study in Princeton. Lê Dũng Tráng is professor emeritus of mathematics at the Aix-Marseille Université.

Series:

  • Mathematical Notes
    Phillip A. Griffiths, John N. Mather, and Elias M. Stein, series editors

Subject Area:

VISIT OUR MATH WEBSITE

Shopping Cart:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Amazon Kindle Store
  • Google Play eBook Store
  • Kobo eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

  • Shopping Cart:

    • For hardcover/paperback orders:

      For hardcover/paperback orders in the United States, Canada, Latin America, Asia, and Australia

      Paperback: $90.00 ISBN: 9780691161341

      For hardcover/paperback orders in Europe, Africa, the Middle East, and India

      Paperback: £62.00 ISBN: 9780691161341

      Prices subject to change without notice

      File created: 7/11/2014

    Questions and comments to: webmaster@press.princeton.edu
    Princeton University Press

    New Book E-mails
    New In Print
    PUP Blog
    Videos/Audios
    Princeton APPS
    Sample Chapters
    Subjects
    Series
    Catalogs
    Princeton Legacy Library
    Textbooks
    Media/Reviewers
    Class Use
    Rights/Permissions
    Ordering
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    Links
    F.A.Q.
    MATH SITE
    PUP Home


    Bookmark and Share
    Send me emails
    about new books in:
    Mathematics
    More Choices
    Email:
    Country:
    Name: