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 | June 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:

When this eBook becomes available, we will provide direct links to buy it. Until then,
check pre-order availability at these e-tailer sites by copying and pasting the eISBN
9781400851478:

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: 4/17/2014

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

New Book E-mails
New In Print
PUP Blog
Videos/Audios
Sample Chapters
Subjects
Series
Catalogs
Textbooks
For Reviewers
Class Use
Rights
Permissions
Ordering
Recent Awards
Princeton Shorts
Freshman Reading
Princeton APPS
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: