Dan Coman and George Marinescu
Abstract: We discuss positive closed currents and Fubini-Study currents on orbifolds, as well as Bergman kernels of singular Hermitian orbifold line bundles. We prove that the Fubini-Study currents associated to high powers of a semipositive singular line bundle converge weakly to the curvature current on the set where the curvature is strictly positive, generalizing a well-known theorem of Tian. We include applications to the asymptotic distribution of zeros of random holomorphic sections.
Journal: Internat. J. Math. 24 (2013), no. 7, 1350051, 27 pp.
DOI: 10.1142/S0129167X13500511