Convergence of Fubini-Study currents for orbifold line bundles
Convergence of Fubini-Study currents for orbifold line bundles
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DOI：
10.1142/s0129167x13500511
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发表时间：
2012-10
期刊：
影响因子：
--
通讯作者：
Dan Coman;G. Marinescu
中科院分区：
文献类型：
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作者：
Dan Coman;G. Marinescu
讨论了欧氏流形上的正闭流和Fubini-Study流，以及奇异厄米欧氏线丛的Bergman核。证明了与半正奇异线丛的高次方相关的Fubini学习流弱收敛于曲率为严格正的集合上的曲率流，推广了田氏的一个著名定理.我们包括对随机全纯截面零点的渐近分布的应用。
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.