The Hodge theory of projective manifolds /

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This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Kähler, to complex projective...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Summer School on Hodge Theory Byeonsan Peninsula, Korea
Otros Autores: De Cataldo, Mark Andrea
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: London : Imperial College Press, ©2007.
Temas:
Manifolds (Mathematics) > Congresses.
Variétés (Mathématiques) > Congrès.
MATHEMATICS > Geometry > Differential.
Manifolds (Mathematics)
Conference papers and proceedings.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Calculus on smooth manifolds
  • 2. The Hodge theory of a smooth, oriented, compact Riemannian manifold
  • 3. Complex manifolds
  • 4. Hermitean linear algebra
  • 5. The Hodge theory of Hermitean manifolds
  • 6. Kahler manifolds
  • 7. The Hard Lefschetz theorem and the Hodge-Riemann bilinear relations
  • 8. Mixed Hodge structures, semi-simplicity and approximability.

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