Mixed Hodge Structures

Authors:

ISBN: 978-3-540-77015-2 (Print) 978-3-540-77017-6 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages I-XIII

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-8

      Introduction

  3. Basic Hodge Theory

    1. Front Matter

      Pages 9-9

    2. No Access

      Book Chapter

      Pages 11-32

      Compact Kähler Manifolds

    3. No Access

      Book Chapter

      Pages 33-60

      Pure Hodge Structures

    4. No Access

      Book Chapter

      Pages 61-85

      Abstract Aspects of Mixed Hodge Structures

  4. Mixed Hodge Structures on Cohomology Groups

    1. Front Matter

      Pages 87-87

    2. No Access

      Book Chapter

      Pages 89-108

      Smooth Varieties

    3. No Access

      Book Chapter

      Pages 109-139

      Singular Varieties

    4. No Access

      Book Chapter

      Pages 141-159

      Singular Varieties: Complementary Results

    5. No Access

      Book Chapter

      Pages 161-187

      Applications to Algebraic Cycles and to Singularities

  5. Mixed Hodge Structures on Homotopy Groups

    1. Front Matter

      Pages 189-189

    2. No Access

      Book Chapter

      Pages 191-217

      Hodge Theory and Iterated Integrals

    3. No Access

      Book Chapter

      Pages 219-236

      Hodge Theory and Minimal Models

  6. Hodge Structures and Local Systems

    1. Front Matter

      Pages 237-237

    2. No Access

      Book Chapter

      Pages 239-252

      Variations of Hodge Structure

    3. No Access

      Book Chapter

      Pages 253-287

      Degenerations of Hodge Structures

    4. No Access

      Book Chapter

      Pages 289-299

      Applications of Asymptotic Hodge Theory

    5. No Access

      Book Chapter

      Pages 301-336

      Perverse Sheaves and D-Modules

    6. No Access

      Book Chapter

      Pages 337-371

      Mixed Hodge Modules

  7. Back Matter

    Pages 373-470