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<head><title>icFracP(..., Verbosity => ...) -- Prints out the conductor element and the number of intermediate modules it computed.</title>
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<div><h1>icFracP(..., Verbosity => ...) -- Prints out the conductor element and the number of intermediate modules it computed.</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>icFracP(R, Verbosity => ZZ)</tt></div>
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<div class="single"><h2>Description</h2>
<div>The main use of the extra information is in computing the integral closure of principal ideals in <tt>R</tt>, via <a href="_ic__P__Ideal.html" title="compute the integral closure in prime characteristic of a principal ideal">icPIdeal</a>.<table class="examples"><tr><td><pre>i1 : R=ZZ/3[u,v,x,y]/ideal(u*x^2-v*y^2);</pre>
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<tr><td><pre>i2 : icFracP(R, Verbosity => 1)
Number of steps: 3, Conductor Element: x^2
u*x
o2 = {1, ---}
y
o2 : List</pre>
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<tr><td><pre>i3 : S = ZZ/3[x,y,u,v];</pre>
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<tr><td><pre>i4 : R = S/kernel map(S,S,{x-y,x+y^2,x*y,x^2});</pre>
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<tr><td><pre>i5 : icFracP(R, Verbosity => 1)
Number of steps: 4, Conductor Element: x*u*v^2-x*v^3
u - v x + y - v
o5 = {-----, ---------, 1}
x x + 1
o5 : List</pre>
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<h2>Further information</h2>
<ul><li><span>Default value: <tt>0</tt></span></li>
<li><span>Function: <span><a href="_ic__Frac__P.html" title="compute the integral closure in prime characteristic">icFracP</a> -- compute the integral closure in prime characteristic</span></span></li>
<li><span>Option name: <span><a href="___Verbosity.html" title="optional argument describing how verbose the output should be">Verbosity</a> -- optional argument describing how verbose the output should be</span></span></li>
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