# CoherentSheaf ^ ZZ -- direct sum

## Synopsis

• Operator: ^
• Usage:
F^n
• Inputs:
• Outputs:
• , the direct sum of n copies of F

## Description

 i1 : R = QQ[a..d]/(a*d-b*c) o1 = R o1 : QuotientRing i2 : Q = Proj R o2 = Q o2 : ProjectiveVariety i3 : OO_Q^5 5 o3 = OO Q o3 : coherent sheaf on Q, free i4 : IL = sheaf module ideal(a,b) o4 = image | a b | 1 o4 : coherent sheaf on Q, subsheaf of OO Q i5 : IL^3 o5 = image | a b 0 0 0 0 | | 0 0 a b 0 0 | | 0 0 0 0 a b | 3 o5 : coherent sheaf on Q, subsheaf of OO Q