Approximation and equidistribution results for pseudo-effective line bundles

Dan Coman, George Marinescu, Viêt Anh Nguyên

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)218-236
Number of pages19
JournalJournal des Mathematiques Pures et Appliquees
Volume115
DOIs
StatePublished - Jul 2018

Keywords

  • Analytic cycle
  • Bergman kernel function
  • Fubini–Study current
  • Positive closed current
  • Pseudo-effective line bundle
  • Zeros of random holomorphic sections

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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