Generatrices of rational curves |
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Authors: | Hans-Peter Schröcker |
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Institution: | (1) University of Applied Arts Vienna, Oskar Kokoschka-Platz 2, 1010 Vienna, Austria, e-mail: hans-peter.schroecker@uni-ak.ac.at , AT |
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Abstract: | We investigate the one-parametric set of projective subspaces that is generated by a set of rational curves in projective relation. The main theorem connects the
algebraic degree of , the number of degenerate subspaces in and the dimension of the variety of all rational curves that can be used to generate . It generalizes classical results and is related to recent investigations on projective motions with trajectories in proper
subspaces of the fixed space.
Received 9 May 2001. |
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Keywords: | : Projective geometry projective kinematics rational parameterization |
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