Convergence of fubini-study currents for orbifold line bundles

Dan Coman, George Marinescu

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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
Issue number7
StatePublished - Jun 2013


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

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Convergence of fubini-study currents for orbifold line bundles'. Together they form a unique fingerprint.

Cite this