Equidistribution for weakly holomorphic sections of line bundles on algebraic curves
Complex Variables
2020-12-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2012.14343,
title = {Equidistribution for weakly holomorphic sections of line bundles on algebraic curves},
author = {Dan Coman and George Marinescu},
journal= {arXiv preprint arXiv:2012.14343},
year = {2020}
}
Comments
21 pages; Dedicated to Professor Ahmed Zeriahi on the occasion of his retirement