# linesHypersurface -- Lines on hypersurfaces

## Synopsis

• Usage:
linesHypersurface(n)
• Inputs:
• n, an integer, the dimension of ambient projective space
• Outputs:
• an integer, the number of lines on a general hypersurface of degree 2n - 3 in \mathbb P^n

## Description

Computes the number of lines on a general hypersurface of degree 2n - 3 in \mathbb P^n.

 i1 : time for n from 2 to 10 list linesHypersurface(n) -- used 0.040917 seconds o1 = {1, 27, 2875, 698005, 305093061, 210480374951, 210776836330775, ------------------------------------------------------------------------ 289139638632755625, 520764738758073845321} o1 : List

## Ways to use linesHypersurface :

• "linesHypersurface(ZZ)"

## For the programmer

The object linesHypersurface is .