On the Gauss Maps of Minimal Surfaces Sharing Hyperplanes in Subgeneral Position

This paper has twofold goals. The first is to establish a uniqueness theorem for the Gauss maps of complete minimal surfaces which share a family of hyperplanes in subgeneral position, where all intersection points with multiplicities exceeding a certain number of the Gauss maps with hyperplanes do not need to be counted. The second is to give an algebraic dependence theorem for such three Gauss maps of complete minimal surfaces.