Equidistribution for sequences of line bundles on normal Kähler spaces

Coman, Dan¹ ; Ma, Xiaonan² ; Marinescu, George³

¹ Department of Mathematics, Syracuse University, Syracuse, NY 13244-1150, United States
² UFR de Mathématiques, Institut Universitaire de France & Université Paris Diderot - Paris 7, Case 7012, 75205 Paris Cedex 13, France
³ Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-50931 Köln, Germany

Geometry & topology, Tome 21 (2017) no. 2, pp. 923-962.

Résumé

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.

Détail

DOI : 10.2140/gt.2017.21.923

Classification : 32L10, 32A60, 32C20, 32U40, 81Q50
Keywords: Bergman kernel function, Fubini–Study current, singular Hermitian metric, compact normal Kähler complex space, zeros of random holomorphic sections

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