Universität zu Köln

Auvray, Hugues, Ma, Xiaonan and Marinescu, George (2022). Quotient of Bergman kernels on punctured Riemann surfaces. Math. Z., 301 (3). S. 2339 - 2368. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823

Full text not available from this repository.

Abstract

In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincare metric near the punctures, and a holomoiphic line bundle that polarizes the metric. We introduce a new method to compare the Bergman kernels of high tensor powers of the line bundle and of the Poincare model near the singularity and show that their quotient tends to one uniformly on a neighborhood of the singularity up to arbitrary negative powers of the tensor power.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Auvray, Hugues UNSPECIFIED UNSPECIFIED UNSPECIFIED Ma, Xiaonan UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinescu, George UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-683578
DOI:	10.1007/s00209-022-02977-x
Journal or Publication Title:	Math. Z.
Volume:	301
Number:	3
Page Range:	S. 2339 - 2368
Date:	2022
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1823
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language KAHLER-METRICS; THEOREM Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/68357