Mixed Hodge Structures

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Peters, Chris A.M (Autor), Steenbrink, Joseph H. M. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 52
Temas:
Algebra.
Algebraic geometry.
Geometry, Differential.
Topology.
Mathematical physics.
Algebraic Geometry.
Differential Geometry.
Mathematical Methods in Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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