Mixed Hodge Structures

Mixed Hodge Structures by Chris A.M. Peters, Joseph H. M. Steenbrink.

The text of this book has its origins more than twenty- ve years ago. In the seminar of the Dutch Singularity Theory project in 1982 and 1983, the second-named author gave a series of lectures on Mixed Hodge Structures and Singularities, accompanied by a set of hand-written notes. The publication of...

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Bibliographic Details
Main Authors: Peters, Chris A.M (Author), Steenbrink, Joseph H. M. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 52
Springer eBook Collection.
Subjects:
Algebra.
Algebraic geometry.
Differential geometry.
Topology.
Physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Basic Hodge Theory
  • Compact Kähler Manifolds
  • Pure Hodge Structures
  • Abstract Aspects of Mixed Hodge Structures
  • Mixed Hodge Structures on Cohomology Groups
  • Smooth Varieties
  • Singular Varieties
  • Singular Varieties: Complementary Results
  • Applications to Algebraic Cycles and to Singularities
  • Mixed Hodge Structures on Homotopy Groups
  • Hodge Theory and Iterated Integrals
  • Hodge Theory and Minimal Models
  • Hodge Structures and Local Systems
  • Variations of Hodge Structure
  • Degenerations of Hodge Structures
  • Applications of Asymptotic Hodge Theory
  • Perverse Sheaves and D-Modules
  • Mixed Hodge Modules.

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