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<head><title>generalB(List,RingElement) -- global general Bernstein-Sato polynomial</title>
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<div><h1>generalB(List,RingElement) -- global general Bernstein-Sato polynomial</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>b = generalB(F,g), b = generalB F</tt></div>
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<li><span>Function: <a href="_general__B_lp__List_cm__Ring__Element_rp.html" title="global general Bernstein-Sato polynomial">generalB</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, a list of polynomials</span></li>
<li><span><tt>g</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring__Element.html">ring element</a></span>, a polynomial</span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>b</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring__Element.html">ring element</a></span>, the general Bernstein-Sato polynomial <em>b(s)</em> in <em>Q[s]</em></span></li>
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<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_general__B_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html">Strategy => ...</a>, -- specify strategy for computing general Bernstein-Sato polynomial</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : W = makeWA(QQ[x_1..x_3]);</pre>
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<tr><td><pre>i2 : factorBFunction generalB ({x_2^2-x_1*x_3, x_1^3-x_3^2}, x_2)
5 9 11 11 13 29 31 35 37
o2 = (s + 2)(s + -)(s + -)(s + --)(s + --)(s + --)(s + --)(s + --)(s + --)(s + --)
2 4 4 6 6 12 12 12 12
o2 : Expression of class Product</pre>
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<div class="single"><h2>Caveat</h2>
<div>The Weyl algebra should not have any parameters. Similarly, it should not be a homogeneous Weyl algebra</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_b__Function.html" title="b-function">bFunction</a> -- b-function</span></li>
<li><span><a href="_global__B__Function_lp__Ring__Element_rp.html" title="global b-function (else known as the Bernstein-Sato polynomial)">globalBFunction</a> -- global b-function (else known as the Bernstein-Sato polynomial)</span></li>
<li><span><a href="_lct_lp__Ideal_rp.html" title="compute the log canonical threshold for an ideal">lct</a> -- compute the log canonical threshold for an ideal</span></li>
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