Universität zu Köln

Bayraktar, Turgay ORCID: 0000-0002-1364-9728, Coman, Dan and Marinescu, George ORCID: 0000-0001-6539-7860 (2020). UNIVERSALITY RESULTS FOR ZEROS OF RANDOM HOLOMORPHIC SECTIONS. Trans. Am. Math. Soc., 373 (6). S. 3765 - 3792. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850

Full text not available from this repository.

Abstract

In this work we prove a universality result regarding the equidistribution of zeros of random holomorphic sections associated to a sequence of singular Hermitian holomorphic line bundles on a compact Kahler complex space X. Namely, under mild moment assumptions, we show that the asymptotic distribution of zeros of random holomorphic sections is independent of the choice of the probability measure on the space of holomorphic sections. In the case when X is a compact Kahler manifold, we also prove an off-diagonal exponential decay estimate for the Bergman kernels of a sequence of positive line bundles on X.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bayraktar, Turgay UNSPECIFIED orcid.org/0000-0002-1364-9728 UNSPECIFIED Coman, Dan UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinescu, George UNSPECIFIED orcid.org/0000-0001-6539-7860 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-331953
DOI:	10.1090/tran/7807
Journal or Publication Title:	Trans. Am. Math. Soc.
Volume:	373
Number:	6
Page Range:	S. 3765 - 3792
Date:	2020
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6850
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 SINGULAR METRICS; LINE BUNDLES; LEVI PROBLEM; EQUIDISTRIBUTION; APPROXIMATION; CONVERGENCE; CURRENTS; SPACES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/33195