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Algebraic curves and the Gauss map of algebraic minimal surfaces
Authors:Lu Jin
Affiliation:a School of Mathematical Science, Fudan University, Shanghai, PR China
b Department of Mathematics, University of Houston, Houston, TX 77204, USA
Abstract:In this paper, we first establish a second main theorem for algebraic curves into the n-dimensional projective space. We then use it to study the ramified values for the Gauss map of the complete (regular) minimal surfaces in Rm with finite total curvature, as well as the uniqueness problem.
Keywords:primary, 53A10   secondary, 32H30
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