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Macaulay2Doc :: syz(Matrix)

syz(Matrix) -- compute the syzygy matrix

Synopsis

Description

i1 : R = QQ[a..g];
i2 : I = ideal"ab2-c3,abc-cef,ade-cfg"

               2    3
o2 = ideal (a*b  - c , a*b*c - c*e*f, a*d*e - c*f*g)

o2 : Ideal of R
i3 : syz gens I     	       

o3 = {3} | -abc+cef 0        -ade+cfg de2f-bcfg  |
     {3} | ab2-c3   -ade+cfg 0        -c2de+b2fg |
     {3} | 0        abc-cef  ab2-c3   bc3-b2ef   |

             3       4
o3 : Matrix R  <--- R

See also