Universität zu Köln

Hsiao, Chin-Yu and Marinescu, George ORCID: 0000-0001-6539-7860 (2017). Szego kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds. Math. Res. Lett., 24 (5). S. 1385 - 1452. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1945-001X

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Abstract

Let X be an orientable compact Levi-flat CR manifold and let L be a positive CR complex line bundle over X. We prove that certain microlocal conjugations of the associated Szego kernel admits an asymptotic expansion with respect to high powers of L. As an application, we give a Szego kernel proof of the Kodaira type embedding theorem on Levi-flat CR manifolds due to Ohsawa and Sibony.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hsiao, Chin-Yu UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinescu, George UNSPECIFIED orcid.org/0000-0001-6539-7860 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-244691
Journal or Publication Title:	Math. Res. Lett.
Volume:	24
Number:	5
Page Range:	S. 1385 - 1452
Date:	2017
Publisher:	INT PRESS BOSTON, INC
Place of Publication:	SOMERVILLE
ISSN:	1945-001X
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COMPLEX PROJECTIVE SPACES; LINE BUNDLES; MORSE INEQUALITIES; GLOBAL REGULARITY; MINIMAL SETS; PSEUDOCONVEX; FOLIATIONS; OPERATORS; SECTIONS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/24469