Abstract

Ak-nucleus of a normal rational curve inPG(n, F) is the intersection over allk-dimensional osculating subspaces of the curve (k e {−1,0,...,n− 1}). It is well known that for characteristic zero all nuclei are empty. In case of characteristicp}>0 and #F≥n the number of non-zero digits in the representation ofn+ 1 in basep equals the number of distinct nuclei. An explicit formula for the dimensions ofk-nuclei is given for #F=F≥k+ 1.

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