H\"older singular metrics on big line bundles and equidistribution
Complex Variables
2017-09-26 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We show that normalized currents of integration along the common zeros of random -tuples of sections of powers of singular Hermitian big line bundles on a compact K\"ahler manifold distribute asymptotically to the wedge product of the curvature currents of the metrics. If the Hermitian metrics are H\"older with singularities we also estimate the speed of convergence.
Keywords
Cite
@article{arxiv.1506.01727,
title = {H\"older singular metrics on big line bundles and equidistribution},
author = {Dan Coman and George Marinescu and Viêt-Anh Nguyên},
journal= {arXiv preprint arXiv:1506.01727},
year = {2017}
}
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23 pages