Abstract
In this work we define a numerical invariant called F-volume. This number extends the definition of F-threshold of a pair of ideals I and J, cJ(I) to a sequence of ideals J, I1,…,It. We obtain several properties that emulate those of the F-threshold. In particular, the F-volume detects F-pure complete intersections. In addition, we relate this invariant to the Hilbert-Kunz multiplicity.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have