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determinant(AbstractSheaf) -- determinant of an abstract sheaf

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

See also

Ways to use this method:

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/Schubert2.m2:1857:0.