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Equidistribution for sequences of line bundles on normal Kähler spaces

Dan Coman, Xiaonan Ma and George Marinescu

Geometry & Topology 21 (2017) 923–962
Abstract

We study the asymptotics of Fubini–Study currents and zeros of random holomorphic sections associated to a sequence of singular Hermitian line bundles on a compact normal Kähler complex space.

Keywords
Bergman kernel function, Fubini–Study current, singular Hermitian metric, compact normal Kähler complex space, zeros of random holomorphic sections
Mathematical Subject Classification 2010
Primary: 32L10
Secondary: 32A60, 32C20, 32U40, 81Q50
References
Publication
Received: 14 January 2015
Revised: 16 January 2016
Accepted: 23 April 2016
Published: 17 March 2017
Proposed: Gang Tian
Seconded: Bruce Kleiner, Tobias H. Colding
Authors
Dan Coman
Department of Mathematics
Syracuse University
Syracuse, NY 13244-1150
United States
Xiaonan Ma
UFR de Mathématiques
Institut Universitaire de France & Université Paris Diderot - Paris 7
Case 7012
75205 Paris Cedex 13
France
George Marinescu
Mathematisches Institut
Universität zu Köln
Weyertal 86-90
D-50931 Köln
Germany