chainComplex(Matrix) -- make a small chain complex

Synopsis

• Function: chainComplex

• Usage:

  chainComplex f

• Inputs:
  • f, a matrix
• Outputs:
  • a chain complex, a chain complex with the map f serving as the differential C.dd_1

Description

i1 : R = QQ[x,y];

i2 : f = vars R

o2 = | x y |

             1      2
o2 : Matrix R  <-- R

i3 : chainComplex f

      1      2
o3 = R  <-- R
             
     0      1

o3 : ChainComplex

i4 : HH oo

o4 = 0 : cokernel | x y |

     1 : image {1} | -y |
               {1} | x  |

o4 : GradedModule

See also

• chain complexes