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

Author: Chin-Yu Hsiao; American Mathematical Society,
Publisher: Providence, Rhode Island : American Mathematical Society, [2018] ©2018
Series: Memoirs of the American Mathematical Society, no. 1217.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n-1, n\geqslant 2, and let L^k be the k-th tensor power of a CR complex line bundle L over X. Given q\in \{0,1,\ldots ,n-1\}, let \Box ^{(q)}_{b,k} be the Gaffney extension of Kohn Laplacian for (0,q) forms with values in L^k. For \lambda \geq 0, let \Pi ^{(q)}_{k,\leq \lambda} :=E((-\infty ,\lambda ]), where E denotes the spectral  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
HSIAO, CHIN-YU.
SZEGO KERNEL ASYMPTOTICS FOR HIGH POWER OF CR LINE BUNDLES AND KODAIRA EMBEDDING THEOREMS ON CR... MANIFOLDS.
[S.l.] : AMER MATHEMATICAL SOCIETY, 2018
(OCoLC)1031944776
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Chin-Yu Hsiao; American Mathematical Society,
ISBN: 9781470447502 1470447509
OCLC Number: 1039082787
Notes: "July 2018, volume 254, number 1217 (fifth of 5 numbers)"
Description: 1 online resource (v, 142 pages).
Contents: Cover; Title page; Chapter 1. Introduction and statement of the main results; 1.1. Main results: Szegő kernel asymptotics for lower energy forms and almost Kodaira embedding Theorems on CR manifolds; 1.2. Main results: Szegő kernel asymptotics; 1.3. Main results: Szegő kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR ¹ actions; Chapter 2. More properties of the phase ( , , ); Chapter 3. Preliminaries; 3.1. Some standard notations; 3.2. Set up and Terminology 7.1. Asymptotic upper bounds7.2. Kernel of the spectral function; 7.3. Szegö kernel asymptotics for lower energy forms; Chapter 8. Almost Kodaira embedding Theorems on CR manifolds; Chapter 9. Asymptotic expansion of the Szegö kernel; Chapter 10. Szegő kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR ¹ actions; 10.1. CR manifolds in projective spaces; 10.2. Compact Heisenberg groups; 10.3. Holomorphic line bundles over a complex torus; Chapter 11. Szegő kernel asymptotics on some non-compact CR manifolds
Series Title: Memoirs of the American Mathematical Society, no. 1217.
Responsibility: Chin-Yu Hsiao.

Abstract:

Let $X$ be an abstract not necessarily compact orientable CR manifold of dimension $2n-1$, $n\geqslant 2$, and let $L^k$ be the $k$-th tensor power of a CR complex line bundle $L$ over $X$. Given  Read more...

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