Universität zu Köln

Ma, Xiaonan ORCID: 0000-0001-8960-7623 and Marinescu, George ORCID: 0000-0001-6539-7860 (2015). Exponential estimate for the asymptotics of Bergman kernels. Math. Ann., 362 (3-4). S. 1327 - 1348. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1807

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Abstract

We prove an exponential estimate for the asymptotics of Bergman kernels of a positive line bundle under hypotheses of bounded geometry. Further, we give Bergman kernel proofs of complex geometry results, such as separation of points, existence of local coordinates and holomorphic convexity by sections of positive line bundles.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ma, Xiaonan UNSPECIFIED orcid.org/0000-0001-8960-7623 UNSPECIFIED Marinescu, George UNSPECIFIED orcid.org/0000-0001-6539-7860 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-397781
DOI:	10.1007/s00208-014-1137-0
Journal or Publication Title:	Math. Ann.
Volume:	362
Number:	3-4
Page Range:	S. 1327 - 1348
Date:	2015
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1807
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 OPERATOR Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/39778