UseWaldschmidt -- optional input for computing a lower bound for the resurgence of a given ideal.

Synopsis

Usage:

lowerBoundResurgence(Ideal,UseWaldschmidt=>true)
Inputs:
- I, an ideal,
Outputs:
- a rational number,

Description

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

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,UseWaldschmidt=>true)

     4
o3 = -
     3

o3 : QQ

Functions with optional argument named UseWaldschmidt :

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

For the programmer

The object UseWaldschmidt is a symbol.