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D.5.17.30 linesHypersurface
Procedure from libraryschubert.lib (see schubert_lib).
- Usage:
- linesHypersurface(n); n int
- Return:
- number
- Theory:
- This is the number of lines on a general hypersurface of degree d = 2n-3 in an n-dimensional projective space.
LIB "schubert.lib"; ring r = 0,x,dp; linesHypersurface(2); ==> 1 linesHypersurface(3); ==> 27 linesHypersurface(4); ==> 2875 linesHypersurface(5); ==> 698005 linesHypersurface(6); ==> 305093061 linesHypersurface(7); ==> 210480374951 linesHypersurface(8); ==> 210776836330775 linesHypersurface(9); ==> 289139638632755625 linesHypersurface(10); ==> 520764738758073845321 |