Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hsiao, Chin-Yu (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1217.
Temas:
Embedding theorems.
CR submanifolds.
Manifolds (Mathematics)
Embeddings (Mathematics)
Kernel functions.
Asymptotic expansions.
Functions of several complex variables.
Integral geometry.
Théorèmes de plongement.
CR-sous-variétés.
Variétés (Mathématiques)
Plongements (Mathématiques)
Noyaux (Mathématiques)
Développements asymptotiques.
Fonctions de plusieurs variables complexes.
Géométrie intégrale.
Funciones de variables complejas
Geometría integral
Funciones de Kernel
Kernel functions
Embedding theorems
Asymptotic expansions
CR submanifolds
Functions of several complex variables
Integral geometry
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction and statement of the main results
  • 2. More properties of the phase [capital letter Pi](x, y, s)
  • 3. Preliminaries
  • 4. Semi-classical [box](q)b, k and the characteristic manifold for [box](q)b, k
  • 5. The heat equation for the local operatot [box](q)s
  • 6. Semi-classical Hodge decomposition theorems for [box](q)s, k in some non-degenerate part of E
  • 7. Szegő kernel asymptotic for lower energy forms
  • 8. Almost Kodaira embedding Theorems on CR manifolds
  • 9. Asymptotic expension of the Szegő kernel
  • 10. Szegő kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions
  • 11. Szegő kernel asymptotics on some non-compact CR manifolds
  • 12. The proof of Theorem 5.28.

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