exteriorPower(AbstractSheaf) -- alternating sum of exterior powers

Synopsis

• Function: exteriorPower

• Usage:

  exteriorPower F

• Inputs:
  • F, which should be effective
• Optional inputs:
  • Strategy => ..., default value null,
• Outputs:

Description

i1 : base(7, Bundle => (E,4,c))

o1 = a variety

o1 : an abstract variety of dimension 7

i2 : E

o2 = E

o2 : an abstract sheaf of rank 4 on a variety

i3 : exteriorPower E

o3 = a sheaf

o3 : an abstract sheaf of rank 0 on a variety

i4 : chern oo

                              2                   3
o4 = 1 - 6c  + 12c c  + (- 20c c  + 10c c ) + (30c c  - 30c c c )
           4      1 4         1 4      2 4        1 4      1 2 4

o4 : QQ[c ..c ]
         1   4