论文标题

代数曲线上线束的弱塑形截面的等分分配

Equidistribution for weakly holomorphic sections of line bundles on algebraic curves

论文作者

Coman, Dan, Marinescu, George

论文摘要

我们证明了归一化的fubini研究措施的收敛性以及与奇异遗传性holmitric holomorphic lindle相关的各种伯格曼粒子的伯格曼内核的对数。使用此过程,我们研究了这些空间中切片的随机序列的零分布。

We prove the convergence of the normalized Fubini-Study measures and the logarithms of the Bergman kernels of various Bergman spaces of holomorphic and weakly holomorphic sections associated to a singular Hermitian holomorphic line bundle on an algebraic curve. Using this, we study the asymptotic distribution of the zeros of random sequences of sections in these spaces.

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