Hölder singular metrics on big line bundles and equidistribution

Dan Coman, George Marinescu, Viêt Anh Nguyên

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We show that normalized currents of integration along the common zeros of random m- Tuples of sections of powers of m singular Hermitian big line bundles on a compact Kähler manifold distribute asymptotically to the wedge product of the curvature currents of the metrics. If the Hermitian metrics are Hö lder with singularities we also estimate the speed of convergen.

Original languageEnglish (US)
Pages (from-to)5048-5075
Number of pages28
JournalInternational Mathematics Research Notices
Volume2016
Issue number16
DOIs
StatePublished - 2016

ASJC Scopus subject areas

  • Mathematics(all)

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