Convergence of Fubini-Study currents for orbifold line bundles

Dan Coman; George Marinescu

doi:10.1142/s0129167x13500511

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arXiv · 1210.5604

Convergence of Fubini-Study currents for orbifold line bundles

Dan Coman·George Marinescu

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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.

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BibTeX RIS

Dan Coman, George Marinescu. 2013-07-28. Convergence of Fubini-Study currents for orbifold line bundles. https://doi.org/10.1142/s0129167x13500511

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