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Coman, Dan, Klevtsov, Semyon and Marinescu, George ORCID: 0000-0001-6539-7860 (2019). Bergman Kernel Asymptotics for Singular Metrics on Punctured Riemann Surfaces. Indiana Univ. Math. J., 68 (2). S. 593 - 629. BLOOMINGTON: INDIANA UNIV MATH JOURNAL. ISSN 1943-5258

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Abstract

We consider singular metrics on a punctured Riemann surface and on a line bundle, and study the behavior of the Bergman kernel in the neighborhood of the punctures. The results have an interpretation in terms of the asymptotic profile of the density-of-states function of the lowest Landau level in quantum Hall effect.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Coman, Dan UNSPECIFIED UNSPECIFIED UNSPECIFIED Klevtsov, Semyon UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinescu, George UNSPECIFIED orcid.org/0000-0001-6539-7860 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-138954
DOI:	10.1512/iumj.2019.68.7589
Journal or Publication Title:	Indiana Univ. Math. J.
Volume:	68
Number:	2
Page Range:	S. 593 - 629
Date:	2019
Publisher:	INDIANA UNIV MATH JOURNAL
Place of Publication:	BLOOMINGTON
ISSN:	1943-5258
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 KAHLER-METRICS; EQUIDISTRIBUTION; THEOREM Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13895