The output Q is topComponents(I + P^m) for sufficiently large m. The criterion that Q is primary is given in Eisenbud-Huneke-Vasconcelos, Invent. Math. 110 (1992) 207-235. However, we use localize(Ideal,Ideal).
The Strategy option value sets the strategy option for localize, and should be one of the following:
The Increment option value should be an integer. The algorithm given in Eisenbud-Huneke-Vasconcelos, Invent. Math. 110 (1992) 207-235, relies on topComponents(I + P^m) for $m$ sufficiently large. The algorithm begins with $m = 1$, and increases $m$ by the value of the Increment option until m is sufficiently large. The default value is 1.
Authored by C. Yackel. Last modified June, 2000.
The object primaryComponent is a method function with options.