Convergence of Fubini-Study currents for orbifold line bundles (Q2853385)
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scientific article; zbMATH DE number 6217608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of Fubini-Study currents for orbifold line bundles |
scientific article; zbMATH DE number 6217608 |
Statements
21 October 2013
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orbifolds
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orbifold line bundles
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singular Hermitian metric
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Bergman kernel
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Fubini-Study current
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equidistribution of zeros
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Convergence of Fubini-Study currents for orbifold line bundles (English)
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This paper deals with positive closed currents and Fubini-Study currents on orbifolds and Bergman kernels of singular Hermitian orbifold line boundles. The authors prove that the Fubini-Study currents associated to high powers of a semipositive singular line boundle converge weakly to the curvature current on the set where the curvature is strictly positive. An important applications to the asymptotic distribution of zeros of random holomorphic sections finally are given.
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