Approximation and equidistribution results for pseudo-effective line bundles

Abstract

We study the distribution of the common zero sets of $m$-tuples of holomorphic sections of powers of $m$ singular Hermitian pseudo-effective line bundles on a compact Kähler 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.

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

References in corpus (1)

• Hölder singular metrics on big line bundles and equidistribution

Cited by in corpus (1)

• Universality results for zeros of random holomorphic sections