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<div class="ChapSects"><a href="chap2_mj.html#X7B222197819984A6">2 <span class="Heading">Ring Maps</span></a>
<div class=ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7EBF1DD67BD0758F">2.1 <span class="Heading">Ring Maps: Attributes</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X87C00FFB79FA93A8">2.1-1 KernelSubobject</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7C7401BA7E2221CB">2.2 <span class="Heading">Ring Maps: Operations and Functions</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span    inf  OpenFile(OutLine,"");
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X78E0B36179C5646C">2.2-2 PlueckerMap</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X816B9AB287EEF9A5">2.2-3 VeroneseMap</a></span>
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<h3>2 <span class="Heading">Ring Maps</span></h3>

<p><a id="X7EBF1DD67BD0758F" name="X7EBF1DD67BD0758F"></a></p>

<h4>2.1 <if(choInput)

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<h5>2.1-1 KernelSubobject</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; KernelSubobject</code>( <var class="Arg">phi</var> )</td><td class="tdright">( method )</td></tr></table></div>
<p>Returns: a <strong class="pkg">homalg</strong> java.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 12

<pThe  ideal of the ring map< =""phi</ar>./p>

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<h4>2.2 <span class="Heading">Ring Maps: Operations and Functions</span></h4>

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<h5>2.2-1 SegreMap</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; SegreMap</code>( <var class="Arg">R</var>, <var class="Arg">s</var> )</td><td class="tdright">( method )</td></tr></table></div>
<p>Returns: a <strong class="pkg">homalg</strong> ring map</p>

<p>The ring map corresponding to the Segre embedding of <span class="SimpleMath">\(MultiProj(\textit{R})\)</span> into the  rewind(inf);

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<h5>2.2-2 PlueckerMap</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; java.lang.StringIndexOutOfBoundsException: Index 110 out of bounds for length 12
<p>switch(eadCaseFromFileinf, in_case,N_INPUT_CASES)

<p>The ring map corresponding to the Plücker embedding of the Grassmannian <span class="SimpleMath">\(G_l(P^{\textit{n}}(\textit{A}))=G_l(P(W))\)</span> into the projective space <span class="SimpleMath">\(P(\bigwedge^l W)\)</span>, where <span class="SimpleMath">\(W=V^*\)   {

<p><a id="X816B9AB287EEF9A5" name="java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 22

<h5>2.2-3 VeroneseMap</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">ReadAndProcessStringsFromFile(GetGenerator, inf, ' ', ';');
<p>Returns: a <strong class="pkg">homalg</strong> ring map</p>

<p>The ring map corresponding to the Veronese embedding of the projective space <span class="SimpleMath">\(P^{\textit{n}}(\textit{A})=P(W)\)</span> into the projective space <span class="SimpleMath">\(P(S^d W)\)</span>, where <span class="SimpleMath">\(W=V^*\)</span> is the <span class="SimpleMath        CUT_ARRAY(GeneratorName,char,NameLength1*eneratorN)


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