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<head><title>ReesAlgebra -- Compute Rees algebra</title>
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<div><h1>ReesAlgebra -- Compute Rees algebra</h1>
<div class="single"><h2>Description</h2>
<div><div>The goal of this package is to provide commands to compute the Rees algebra of a module as it is defined in the paper <em>What is the Rees algebra of a module?</em>, by Craig Huneke, David Eisenbud and Bernd Ulrich, Proc. Am. Math. Soc. 131, 701--708, 2002. It also includes functions for computing many of the structures that require a Rees algebra. The included functions are listed below. Examples of the use of each of the functions are included with their documentation.</div>
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<div class="single"><h2>Authors</h2>
<ul><li><div class="single">David Eisenbud<span> <<a href="mailto:de@msri.org">de@msri.org</a>></span></div>
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<li><div class="single"><a href="http://faculty1.coloradocollege.edu/~ataylor/">Amelia Taylor</a><span> <<a href="mailto:amelia.taylor@coloradocollege.edu">amelia.taylor@coloradocollege.edu</a>></span></div>
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<li><div class="single">Sorin Popescu<span> <<a href="mailto:sorin@math.sunysb.edu">sorin@math.sunysb.edu</a>></span></div>
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<li><div class="single">Michael E. Stillman<span> <<a href="mailto:mike@math.cornell.edu">mike@math.cornell.edu</a>></span></div>
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<div class="single"><h2>Version</h2>
This documentation describes version <b>1.1</b> of ReesAlgebra.</div>
<div class="single"><h2>Source code</h2>
The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/ReesAlgebra.m2">ReesAlgebra.m2</a>.</div>
<div class="single"><h2>Exports</h2>
<ul><li><div class="single">Functions<ul><li><span><a href="_analytic__Spread.html" title="compute the analytic spread of a module or ideal">analyticSpread</a> -- compute the analytic spread of a module or ideal</span></li>
<li><span><a href="_associated__Graded__Ring.html" title="the associated graded ring of an ideal">associatedGradedRing</a> -- the associated graded ring of an ideal</span></li>
<li><span><a href="_distinguished.html" title="compute the distinguished subvarieties of a scheme">distinguished</a> -- compute the distinguished subvarieties of a scheme</span></li>
<li><span><a href="_distinguished__And__Mult.html" title="compute the distinguished subvarieties of a scheme along with their multiplicities">distinguishedAndMult</a> -- compute the distinguished subvarieties of a scheme along with their multiplicities</span></li>
<li><span><a href="_is__Linear__Type.html" title="is a module of linear type">isLinearType</a> -- is a module of linear type</span></li>
<li><span><tt>isReduction</tt> (missing documentation<!-- tag: isReduction -->)</span></li>
<li><span><a href="_minimal__Reduction.html" title="minimal reduction of an ideal">minimalReduction</a> -- minimal reduction of an ideal</span></li>
<li><span><a href="_multiplicity.html" title="compute the Hilbert-Samuel multiplicity of an ideal">multiplicity</a> -- compute the Hilbert-Samuel multiplicity of an ideal</span></li>
<li><span><a href="_normal__Cone.html" title="the normal cone of a subscheme">normalCone</a> -- the normal cone of a subscheme</span></li>
<li><span><a href="_reduction__Number.html" title="reduction number of one ideal with respect to another">reductionNumber</a> -- reduction number of one ideal with respect to another</span></li>
<li><span><a href="_rees__Algebra.html" title="compute the defining ideal of the Rees Algebra">reesAlgebra</a> -- compute the defining ideal of the Rees Algebra</span></li>
<li><span><a href="_rees__Ideal.html" title="compute the defining ideal of the Rees Algebra">reesIdeal</a> -- compute the defining ideal of the Rees Algebra</span></li>
<li><span><a href="_special__Fiber.html" title="special fiber of a blowup">specialFiber</a> -- special fiber of a blowup</span></li>
<li><span><a href="_special__Fiber__Ideal.html" title="special fiber of a blowup">specialFiberIdeal</a> -- special fiber of a blowup</span></li>
<li><span><a href="_symmetric__Kernel.html" title="Compute the Rees ring of the image of a matrix">symmetricKernel</a> -- Compute the Rees ring of the image of a matrix</span></li>
<li><span><a href="_universal__Embedding.html" title="Compute the universal embedding">universalEmbedding</a> -- Compute the universal embedding</span></li>
<li><span><a href="_which__Gm.html" title="largest Gm satisfied by an ideal">whichGm</a> -- largest Gm satisfied by an ideal</span></li>
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<li><div class="single">Symbols<ul><li><span><tt>Tries</tt> (missing documentation<!-- tag: Tries -->)</span></li>
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