English

On the lower bound estimates of sections of the canonical bundle over a Riemann surface

Differential Geometry 2007-05-23 v1

Abstract

In this paper, we give some estimates of the sum of the square norm of the sections of the pluricanonical bundles over a Riemann surface with genus greater than 2 and Gauss curvature (-1). Using these estimate, we give a uniform estimate of the corona problem on Riemann surfaces.

Keywords

Cite

@article{arxiv.math/9911033,
  title  = {On the lower bound estimates of sections of the canonical bundle over a Riemann surface},
  author = {Zhiqin Lu},
  journal= {arXiv preprint arXiv:math/9911033},
  year   = {2007}
}

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34 pages