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SymbolicPowers :: lowerBoundResurgence(..., UseWaldschmidt => ...)

lowerBoundResurgence(..., UseWaldschmidt => ...) -- optional input for computing a lower bound for the resurgence of a given ideal.

Synopsis

Description

Given an ideal I and an integer n, returns the larger value between the maximum of the quotiens m/k that fail I(m) ⊆Ik with k ≤n and (α(I))/(waldschmidt(I)).

i1 : T = QQ[x,y,z];
i2 : I = intersect(ideal"x,y",ideal"x,z",ideal"y,z");

o2 : Ideal of T
i3 : lowerBoundResurgence(I,5,UseWaldschmidt=>true)
Ideal is monomial, the Waldschmidt constant is computed exactly

     4
o3 = -
     3

o3 : QQ

Further information