Tuesday, October 23, 2012

1210.5604 (Dan Coman et al.)

Convergence of Fubini-Study currents for orbifold line bundles    [PDF]

Dan Coman, George Marinescu
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.
View original: http://arxiv.org/abs/1210.5604

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