Affordable Access

Holomorphic Line Bundles over a Tower of Coverings

Authors
  • Yuan, Yuan
  • Zhu, Junyan
Type
Preprint
Publication Date
Oct 17, 2014
Submission Date
Oct 07, 2014
Identifiers
arXiv ID: 1410.1957
Source
arXiv
License
Yellow
External links

Abstract

We study a tower of normal coverings over a compact K\"ahler manifold with holomorphic line bundles. When the line bundle is sufficiently positive, we obtain an effective estimate, which implies the Bergman stability. As a consequence, we deduce the equidistribution for zero currents of random holomorphic sections. Furthermore, we obtain a variance estimate for those random zero currents, which yields the almost sure convergence under some geometric condition.

Report this publication

Statistics

Seen <100 times