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<head><title>sheafHom(CoherentSheaf,CoherentSheaf) -- sheaf Hom</title>
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<div><h1>sheafHom(CoherentSheaf,CoherentSheaf) -- sheaf Hom</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>sheafHom(M,N)</tt></div>
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<li><span>Function: <a href="_sheaf__Hom_lp__Coherent__Sheaf_cm__Coherent__Sheaf_rp.html" title="sheaf Hom">sheafHom</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>M</tt>, <span>a <a href="___Coherent__Sheaf.html">coherent sheaf</a></span></span></li>
<li><span><tt>N</tt>, <span>a <a href="___Coherent__Sheaf.html">coherent sheaf</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 coherent sheaf of homomorphisms from <tt>M</tt> to <tt>N</tt></span></li>
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<div class="single"><h2>Description</h2>
<div>If <tt>M</tt> or <tt>N</tt> is a sheaf of rings, it is regarded as a sheaf of modules in the evident way.<p/>
<tt>M</tt> and <tt>N</tt> must be coherent sheaves on the same projective variety or scheme <tt>X</tt>.<p/>
The result is the sheaf associated to the graded module Hom(module M, module N).<table class="examples"><tr><td><pre>i1 : X = Proj(QQ[x,y])
o1 = X
o1 : ProjectiveVariety</pre>
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<tr><td><pre>i2 : sheafHom(OO_X^1(2),OO_X(11)^1)
o2 = image {-9} | 1 |
1
o2 : coherent sheaf on X, subsheaf of OO (9)
X</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___O__O_sp_us_sp__Variety.html" title="the structure sheaf">OO</a> -- the structure sheaf</span></li>
<li><span><a href="_sheaf__Ext^__Z__Z_lp__Coherent__Sheaf_cm__Coherent__Sheaf_rp.html" title="sheaf Ext of coherent sheaves">sheafExt</a> -- sheaf Ext of coherent sheaves</span></li>
<li><span><a href="___Hom.html" title="module of homomorphisms">Hom</a> -- module of homomorphisms</span></li>
<li><span><a href="___Ext.html" title="compute an Ext module">Ext</a> -- compute an Ext module</span></li>
<li><span><a href="___H__H.html" title="general homology and cohomology functor">HH</a> -- general homology and cohomology functor</span></li>
<li><span><a href="___Hom_lp__Coherent__Sheaf_cm__Coherent__Sheaf_rp.html" title="global Hom">Hom(CoherentSheaf,CoherentSheaf)</a> -- global Hom</span></li>
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