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<head><title>StatePolytope -- computes state polytopes of ideals</title>
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<div><h1>StatePolytope -- computes state polytopes of ideals</h1>
<div class="single"><h2>Description</h2>
<div><em>StatePolytope</em> computes state polytopes of ideals using the programs <tt>gfan</tt>, <tt>M2</tt>, and <tt>polymake</tt>. Specifically, it computes <i>State</i><sub>m</sub>(I) or <i>State</i>(I) as defined in Sturmfels's book <i>Groebner bases and convex polytopes</i>, page 14. There is also a function for testing GIT stability of an ideal in a polynomial ring with respect to action of the maximal torus scaling the variables.<p/>
We assume that the user has <tt>gfan</tt> version 0.3 or higher on his or her system. The default assumption is that the command to run <tt>gfan</tt> is <tt>gfan</tt>, but this can be changed in the package configuration if necessary. The user also needs <tt>polymake</tt> version 2.3-1 or higher installed on his or her system, and it must be run by this command. Finally, the user is responsible for making sure the ideal of study is supported by <tt>gfan</tt>. In version 0.3 this means the ideal must be in a polynomial ring over <tt>QQ</tt> or <tt>ZZ/p</tt> with p < 32749, and no variable's name should be a substring of another's.</div>
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<div class="single"><h2>Author</h2>
<ul><li><div class="single">Dave Swinarski<span> <<a href="mailto:swinarsk@math.columbia.edu">swinarsk@math.columbia.edu</a>></span></div>
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<div class="single"><h2>Version</h2>
This documentation describes version <b>1.2</b> of StatePolytope.</div>
<div class="single"><h2>Source code</h2>
The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/StatePolytope.m2">StatePolytope.m2</a>. The auxiliary files accompanying it are in the directory <a href="../../../../Macaulay2/StatePolytope/">StatePolytope/</a>.</div>
<div class="single"><h2>Exports</h2>
<ul><li><div class="single">Functions<ul><li><span><a href="_initial__Ideals.html" title="calls gfan and returns the list of initial ideals">initialIdeals</a> -- calls gfan and returns the list of initial ideals</span></li>
<li><span><a href="_is__Stable.html" title="determines whether the mth Hilbert point of I is GIT stable">isStable</a> -- determines whether the mth Hilbert point of I is GIT stable</span></li>
<li><span><a href="_state__Polytope.html" title="computes state polytopes of ideals">statePolytope</a> -- computes state polytopes of ideals</span></li>
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