Generatrices of Rational Curves

نویسنده

  • Hans-Peter Schröcker
چکیده

We investigate the one-parametric set G of projective subspaces that is generated by a set of rational curves in projective relation. The main theorem connects the algebraic degree δ of G, the number of degenerate subspaces inG and the dimension of the variety of all rational curves that can be used to generateG. It generalizes classical results and is related to recent investigations on projective motions with trajectories in proper subspaces of the fixed space. Mathematics Subject Classification (2000): 51N25.

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تاریخ انتشار 2001