Holomorphic curves with bounded Fubini-Study derivative
Abstract
In this dissertation we present work on two problems in the theory of holomorphic curves. The first is to generalize to arbitrary dimension a result of Hayman and Clunie. This work concludes the efforts initiated by Eremenko by proving the result for curves whose Fubini-Study derivative has polynomial growth. The second problem is the computation of rates of growth for the derivative of a holomorphic self-map of n-dimensional complex projective space. This computation is related to the work of Gromov and others on "short" maps between compact manifolds.
Degree
Ph.D.
Advisors
Drasin, Purdue University.
Subject Area
Applied Mathematics|Mathematics
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