Record Nr.

UNINA9910793167203321

Autore

Hsiao Chin-Yu

Titolo

Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao

Pubbl/distr/stampa


Providence, RI : , : American Mathematical Society, , [2018]
©2018

ISBN

1-4704-4750-9

Descrizione fisica

1 online resource (154 pages)

Collana

Memoirs of the American Mathematical Society ; ; Number 1217

Disciplina

516.3/6

Soggetti

Embedding theorems

CR submanifolds

Manifolds (Mathematics)

Embeddings (Mathematics)

Kernel functions

Asymptotic expansions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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. Szegîo kernel asymptotic for lower energy forms -- 8. Almost Kodaira embedding Theorems on CR manifolds -- 9. Asymptotic expension of the Szegîo kernel -- 10. Szegîo kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions -- 11. Szegîo kernel asymptotics on some non-compact CR manifolds -- 12. The proof of Theorem 5.28.