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<head><title>CoherentSheaf ^ ZZ -- direct sum</title>
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<div><h1>CoherentSheaf ^ ZZ -- direct sum</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>F^n</tt></div>
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<li><span>Operator: <a href="_^.html" title="a binary operator, usually used for powers">^</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="___Coherent__Sheaf.html">coherent sheaf</a></span>, , or a <span>a <a href="___Sheaf__Of__Rings.html">sheaf of rings</a></span></span></li>
<li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Coherent__Sheaf.html">coherent sheaf</a></span>, the direct sum of <tt>n</tt> copies of <tt>F</tt></span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[a..d]/(a*d-b*c)
o1 = R
o1 : QuotientRing</pre>
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<tr><td><pre>i2 : Q = Proj R
o2 = Q
o2 : ProjectiveVariety</pre>
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<tr><td><pre>i3 : OO_Q^5
5
o3 = OO
Q
o3 : coherent sheaf on Q, free</pre>
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<tr><td><pre>i4 : IL = sheaf module ideal(a,b)
o4 = image | a b |
1
o4 : coherent sheaf on Q, subsheaf of OO
Q</pre>
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<tr><td><pre>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</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Proj_lp__Ring_rp.html" title="make a projective variety">Proj</a> -- make a projective variety</span></li>
<li><span><a href="_sheaf.html" title="make a coherent sheaf">sheaf</a> -- make a coherent sheaf</span></li>
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