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

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

1999-11-05

arxiv.org/abs/math/9911033v1

Inter. J. Math, vol 12(8), 2001, pp 235-273

Mathematics

Differential Geometry

34 pages

Scientific paper

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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