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

Zhiqin Lu

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arXiv · math/9911033

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

Zhiqin Lu

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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.

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Zhiqin Lu. 1999-11-05. On the lower bound estimates of sections of the canonical bundle over a Riemann surface. https://arxiv.org/abs/math/9911033

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