Universität zu Köln

Coman, Dan and Marinescu, George ORCID: 0000-0001-6539-7860 (2016). Holder Singular Metrics on Big Line Bundles and Equidistribution. Int. Math. Res. Notices, 2016 (16). S. 5048 - 5076. OXFORD: OXFORD UNIV PRESS. ISSN 1687-0247

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Abstract

We show that normalized currents of integration along the common zeros of random m-tuples of sections of powers of m singular Hermitian big line bundles on a compact Kahler manifold distribute asymptotically to the wedge product of the curvature currents of the metrics. If the Hermitian metrics are Holder with singularities we also estimate the speed of convergence.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Coman, Dan UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinescu, George UNSPECIFIED orcid.org/0000-0001-6539-7860 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-289177
DOI:	10.1093/imrn/rnv303
Journal or Publication Title:	Int. Math. Res. Notices
Volume:	2016
Number:	16
Page Range:	S. 5048 - 5076
Date:	2016
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1687-0247
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 MASS EQUIDISTRIBUTION; BERGMAN-KERNEL; ZEROS; SECTIONS; THEOREM; ENERGY; FORMS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28917