Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds
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Providence, Rhode Island
American Mathematical Society
July 2018
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| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 254, number 1217 (fifth of 5 numbers) |
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| 245 | 1 | 0 | |a Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds |c Chin-Yu Hsiao |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c July 2018 | |
| 264 | 4 | |c © 2018 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 254, number 1217 (fifth of 5 numbers) | |
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| _version_ | 1804178872852283392 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction and statement of the main results 1
1.1. Main results: Szego kernel asymptotics for lower energy forms and
almost Kodaira embedding Theorems on CR manifolds 3
1.2. Main results: Szego kernel asymptotics 5
1.3. Main results: Szego kernel asymptotics and Kodairan embedding
theorems on CR manifolds with transversal CR S1 actions 8
Chapter 2. More properties of the phase ip(x, y, s) 11
Chapter 3. Preliminaries 15
3.1. Some standard notations 15
3.2. Set up and Terminology 16
Chapter 4. Semi-classical and the characteristic manifold for □ ^ 19
Chapter 5. The heat equation for the local operatot CD^ 25
5.1. o{q^ and the eikonal equation for 25
5.2. The transport equations for [H^ 29
5.3. Microlocal Hodge decomposition theorems for in U 35
5.4. The tangential Hessian of (p(x,yys) 49
Chapter 6. Semi-classical Hodge decomposition theorems for □ ^ in some
non-degenerate part of S 55
Chapter 7. Szego kernel asymptotics for lower energy forms 69
7.1. Asymptotic upper bounds 69
7.2. Kernel of the spectral function 75
7.3. Szego kernel asymptotics for lower energy forms 82
Chapter 8. Almost Kodaira embedding Theorems on CR manifolds 87
Chapter 9. Asymptotic expansion of the Szego kernel 103
Chapter 10. Szego kernel asymptotics and Kodairan embedding theorems on
CR manifolds with transversal CR S1 actions 109
10.1. CR manifolds in projective spaces 120
10.2. Compact Heisenberg groups 121
10.3. Holomorphic line bundles over a complex torus 122
Chapter 11. Szego kernel asymptotics on some non-compact CR manifolds 125
11.1. The partial Fourier transform and the operator 126
iii
IV
CONTENTS
11.2. The small spectral gap property for with respect to 127
11.3. Szcgo kernel asymptotics on F x R, where T = Cn_1 or T is a
bounded strongly pseudoconvex domain in Cn“! 133
Chapter 12. The proof of Theorem 5.28 135
References 141
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| any_adam_object | 1 |
| author | Hsiao, Chin-Yu |
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| author_facet | Hsiao, Chin-Yu |
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| author_sort | Hsiao, Chin-Yu |
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| institution | BVB |
| isbn | 9781470441012 |
| language | English |
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| series2 | Memoirs of the American Mathematical Society |
| spelling | Hsiao, Chin-Yu (DE-588)143531123 aut Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds Chin-Yu Hsiao Providence, Rhode Island American Mathematical Society July 2018 © 2018 v, 142, 4 ungezählte Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 254, number 1217 (fifth of 5 numbers) Memoirs of the American Mathematical Society volume 254, number 1217 (fifth of 5 numbers) (DE-604)BV008000141 1217 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030569802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hsiao, Chin-Yu Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds Memoirs of the American Mathematical Society |
| title | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds |
| title_auth | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds |
| title_exact_search | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds |
| title_full | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds Chin-Yu Hsiao |
| title_fullStr | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds Chin-Yu Hsiao |
| title_full_unstemmed | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds Chin-Yu Hsiao |
| title_short | Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR Manifolds |
| title_sort | szego kernel asymptotics for high power of cr line bundles and kodaira embedding theorems on cr manifolds |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030569802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT hsiaochinyu szegokernelasymptoticsforhighpowerofcrlinebundlesandkodairaembeddingtheoremsoncrmanifolds |