Injectivity radius and gonality of a compact Riemann surface
November 15, 2010
MONDAY special
TIME/ROOM
4:00pm PGH 646
Abstract
A compact Riemann surface of genus at least 2 is a hyperbolic manifold and
at the same time an algebraic curve. We discuss how these two different
geometric aspects interact via the concepts of injectivity radius and
gonality. The key ingredient is a certain volume inequality in a tubular
neighborhood of the diagonal. This is a joint work with Wing-Keung To.
Webmaster University of Houston
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Last modified: April 11 2016 - 18:14:43