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FThresholds :: criticalExponentApproximation

criticalExponentApproximation -- gives a list of approximates of a critical exponent

Synopsis

Description

This returns a list of μIJ(pd)/pd, or μfJ(pd)/pd, for d = 0,...,e.

As d approaches , the sequence of these terms converges to the critical exponent of I, or of f, with respect to J.

i1 : R = ZZ/5[x,y];
i2 : I = ideal(x^2,x*y,y^2);

o2 : Ideal of R
i3 : m = ideal(x,y);

o3 : Ideal of R
i4 : criticalExponentApproximation(2,I,m)

         4  24
o4 = {0, -, --}
         5  25

o4 : List
i5 : f = x^2 + y^3;
i6 : criticalExponentApproximation(2,f,m)

         3  19
o6 = {0, -, --}
         5  25

o6 : List

See also

Ways to use criticalExponentApproximation :