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
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.