determinant(AbstractSheaf) -- determinant of an abstract sheaf

Function: determinant
Usage:

det F
Inputs:
- F, an abstract sheaf,
Optional inputs:
- Strategy => ..., default value null,
Outputs:
- an abstract sheaf, the determinant of F

Description

The determinant of F is the $n$-th exterior power of F, where $n$ is the rank of F.

i1 : X = abstractProjectiveSpace 1

o1 = X

o1 : a flag bundle with subquotient ranks {2:1}

i2 : F = OO_X(1) ++ OO_X(1) ++ OO_X(3)

o2 = F

o2 : an abstract sheaf of rank 3 on X

i3 : det F

o3 = a sheaf

o3 : an abstract sheaf of rank 1 on X

i4 : chern oo

o4 = 1 + 5H
           2,1

         QQ[][h, H   ]
                  2,1
o4 : ---------------------
     (- h - H   , -h*H   )
             2,1      2,1

i5 : rank ooo

o5 = 1

Ways to use this method:

determinant(AbstractSheaf) -- determinant of an abstract sheaf

The source of this document is in Schubert2.m2:1857:0.

determinant(AbstractSheaf) -- determinant of an abstract sheaf

Description

See also

Ways to use this method: