lowerBoundResurgence(...,SampleSize=>...) -- optional parameter used for approximating asymptotic invariants that are defined as limits.

Usage:

lowerBoundResurgence(I,SampleSize=>ZZ)

Description

Given an ideal $I$ and an integer $n$, returns the larger of the two numbers $\frac{\alpha(I)}{waldschmidt(I)}$ and the maximum of the quotients $m/k$ that fail $I^{(m)} \subseteq I^k$ with $k \leq$ SampleSize.

i1 : R = QQ[x,y,z];

i2 : J = ideal (x*(y^3-z^3),y*(z^3-x^3),z*(x^3-y^3));

o2 : Ideal of R

i3 : lowerBoundResurgence(J, SampleSize=>5)

     3
o3 = -
     2

o3 : QQ

Functions with optional argument named SampleSize:

asymptoticRegularity(...,SampleSize=>...) -- optional parameter used for approximating asymptotic invariants that are defined as limits.
lowerBoundResurgence(...,SampleSize=>...) -- optional parameter used for approximating asymptotic invariants that are defined as limits.
waldschmidt(...,SampleSize=>...) -- optional parameter used for approximating asymptotic invariants that are defined as limits.

Further information

Default value: 5
Function: lowerBoundResurgence -- computes a lower bound for the resurgence of a given ideal.
Option key: SampleSize -- optional parameter used for approximating asymptotic invariants that are defined as limits.