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.
| Original language | English (US) |
|---|---|
| Article number | 1350051 |
| Journal | International Journal of Mathematics |
| Volume | 24 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jun 1 2013 |
Keywords
- Bergman kernel
- Fubini-Study current
- Orbifolds and orbifold line bundles
- equidistribution of zeros
- random holomorphic section
- singular Hermitian metric
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Coman, D., & Marinescu, G. (2013). Convergence of fubini-study currents for orbifold line bundles. International Journal of Mathematics, 24(7), [1350051]. https://doi.org/10.1142/S0129167X13500511