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D.5.17.18 symmetricPowerSheaf
Procedure from library schubert.lib (see schubert_lib).
- Usage:
- symmetricPowerSheaf(S,n); S sheaf, n int
- Return:
- sheaf
- Theory:
- This is the n-th symmetric power of a sheaf
Example:
| | LIB "schubert.lib";
variety G = Grassmannian(2,4);
def R = G.baseRing;
setring R;
sheaf S = makeSheaf(G,quotientBundle);
sheaf B = symmetricPowerSheaf(S,3);
B;
==> A sheaf of rank 4
==>
sheaf A = S^3;
A;
==> A sheaf of rank 4
==>
A.ChernCharacter == B.ChernCharacter;
==> 1
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See also:
addSheaf;
dualSheaf;
quotSheaf;
tensorSheaf.
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