English

Approximation and equidistribution results for pseudo-effective line bundles

Complex Variables 2018-06-26 v1 Mathematical Physics Differential Geometry math.MP

Abstract

We study the distribution of the common zero sets of mm-tuples of holomorphic sections of powers of mm singular Hermitian pseudo-effective line bundles on a compact K\"ahler manifold. As an application, we obtain sufficient conditions which ensure that the wedge product of the curvature currents of these line bundles can be approximated by analytic cycles.

Keywords

Cite

@article{arxiv.1701.00120,
  title  = {Approximation and equidistribution results for pseudo-effective line bundles},
  author = {Dan Coman and George Marinescu and Viêt-Anh Nguyên},
  journal= {arXiv preprint arXiv:1701.00120},
  year   = {2018}
}

Comments

21 pages. arXiv admin note: text overlap with arXiv:1506.01727

R2 v1 2026-06-22T17:38:24.397Z