Returns the Buchsbaum-Eisenbud resolution of the ideal of submaximal pfaffians of a skew-symmetric matrix A. The syzygy matrix will be A.
i1 : R=QQ[x_1..x_4,z_1..z_4]; |
i2 : A=matrix {{0,x_1,x_2,x_3,x_4},{-x_1,0,0,z_1,z_2},{-x_2,0,0,z_3,z_4},{-x_3,-z_1,-z_3,0,0},{-x_4,-z_2,-z_4,0,0}} o2 = | 0 x_1 x_2 x_3 x_4 | | -x_1 0 0 z_1 z_2 | | -x_2 0 0 z_3 z_4 | | -x_3 -z_1 -z_3 0 0 | | -x_4 -z_2 -z_4 0 0 | 5 5 o2 : Matrix R <--- R |
i3 : resBE A 1 5 5 1 o3 = R <-- R <-- R <-- R <-- 0 0 1 2 3 4 o3 : ChainComplex |