chern(ZZ,AbstractSheaf) -- compute a Chern class of a sheaf

Synopsis

• Function: chern

• Usage:

  chern(n,A)

  chern_n A

• Inputs:
  • n, an integer
  • A, an abstract sheaf
• Outputs:
  • a ring element, the n-th Chern class of A

Description

i1 : base(3, Bundle => (A,2,a), Bundle => (B,3,b))

o1 = a variety

o1 : an abstract variety of dimension 3

i2 : chern_3 B

o2 = b
      3

o2 : QQ[a ..a , b ..b ]
         1   2   1   3

i3 : chern(2,A**B)

       2                  2
o3 = 3a  + 3a  + 5a b  + b  + 2b
       1     2     1 1    1     2

o3 : QQ[a ..a , b ..b ]
         1   2   1   3

See also

• segre(ZZ,AbstractSheaf) -- compute a Segre class of a sheaf