Hodge Theory (MN-49) /

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

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 stru...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
VerfasserIn:
Cattani, Eduardo,
El Zein, Fouad,
Griffiths, Phillip A.,
MitwirkendeR:
Brosnan, Patrick,
Carlson, James,
Cataldo, Mark Andrea de,
Cattani, Eduardo,
Charles, François,
El Zein, Fouad,
Green, Mark L.,
Kerr, Matt,
Migliorini, Luca,
Murre, Jacob,
Schnell, Christian,
Tráng, Lê Dũng,
Tu, Loring W.,
Zein, Fouad El,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©2014
Year of Publication:2014
Edition:Course Book
Language:English
Series:Mathematical Notes ; 49
Online Access:
Physical Description:1 online resource (608 p.) :; 10 line illus.
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Table of Contents:
  • Frontmatter
  • Contributors
  • Contents
  • Preface
  • Chapter One. Introduction to Kähler Manifolds
  • Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem
  • Chapter Three. Mixed Hodge Structures
  • Chapter Four. Period Domains and Period Mappings
  • Chapter Five. The Hodge Theory of Maps
  • Chapter Six The Hodge Theory of Maps
  • Chapter Seven. Introduction to Variations of Hodge Structure
  • Chapter Eight. Variations of Mixed Hodge Structure
  • Chapter Nine. Lectures on Algebraic Cycles and Chow Groups
  • Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles
  • Chapter Eleven. Notes on Absolute Hodge Classes
  • Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective
  • Bibliography
  • Index

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