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math.CVDec 1, 2014
26
citations (OpenAlex)
authors
  • Dan Coman
  • Xiaonan Ma
  • George Marinescu
institutions
  • Institut Universitaire de France
  • Syracuse University
  • Université Paris Diderot
  • University of Cologne
arXiv abstractPDF
paper

Equidistribution for sequences of line bundles on normal Kaehler spaces

arXiv:1412.8184 · doi:10.2140/gt.2017.21.923

Abstract

We study the asymptotics of Fubini-Study currents and zeros of random holomorphic sections associated to a sequence of singular Hermitian line bundles on a compact normal Kaehler complex space.

32 pages

References in corpus (6)

  • Distribution of zeros of random and quantum chaotic sections of positive line bundles
  • Generalized Bergman kernels on symplectic manifolds
  • Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
  • Equidistribution of zeros of holomorphic sections in the non compact setting
  • Convergence of random zeros on complex manifolds
  • Convergence of Fubini-Study currents for orbifold line bundles

Cited by in corpus (5)

  • Universality results for zeros of random holomorphic sections
  • On the first order asymptotics of partial Bergman kernels
  • Approximation and equidistribution results for pseudo-effective line bundles
  • Weighted cscK metrics on Kähler varieties
  • Gaussian holomorphic sections on noncompact complex manifolds
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