Convergence of fubini-study currents for orbifold line bundles

Dan Coman, George Marinescu

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We discuss positive closed currents and Fubini-Study currents on orbifolds, as well as Bergman kernels of singular Hermitian orbifold line bundles. We prove that the Fubini-Study currents associated to high powers of a semipositive singular line bundle converge weakly to the curvature current on the set where the curvature is strictly positive, generalizing a well-known theorem of Tian. We include applications to the asymptotic distribution of zeros of random holomorphic sections.

Original languageEnglish (US)
Article number1350051
JournalInternational Journal of Mathematics
Volume24
Issue number7
DOIs
StatePublished - Jun 1 2013

Keywords

  • Bergman kernel
  • Fubini-Study current
  • Orbifolds and orbifold line bundles
  • equidistribution of zeros
  • random holomorphic section
  • singular Hermitian metric

ASJC Scopus subject areas

  • Mathematics(all)

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