On the variety of rational space curves |
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Authors: | Z. Ran |
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Affiliation: | (1) Department of Mathematics, University of California, 92521 Riverside, CA, USA |
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Abstract: | We consider the locus of smooth rational curves of given degree in a given projective space, which are incident to a generic collection of linear spaces. When this locus is finite (resp. 1-dimensional) we give a recursive procedure to compute its degree (resp. geometric genus). The method is based on the elementary geometry of ruled surfaces. |
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