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arXiv · 1701.00120

Approximation and equidistribution results for pseudo-effective line bundles

Dan Coman·George Marinescu·Viêt-Anh Nguyên
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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 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.

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Dan Coman, George Marinescu, Viêt-Anh Nguyên. 2016-12-31. Approximation and equidistribution results for pseudo-effective line bundles. https://doi.org/10.1016/j.matpur.2017.09.010

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