$F$-Volumes
Commutative Algebra
2024-03-27 v2
Abstract
In this work we define a numerical invariant called -volume. This number extends the definition of -threshold of a pair of ideals and , to a sequence of ideals , . We obtain several properties that emulate those of the -threshold. In particular, the -volume detects -pure complete intersections. In addition, we relate this invariant to the Hilbert-Kunz multiplicity.
Cite
@article{arxiv.1912.03710,
title = {$F$-Volumes},
author = {Wágner Badilla-Céspedes and Luis Núñez-Betancourt and Sandra Rodríguez-Villalobos},
journal= {arXiv preprint arXiv:1912.03710},
year = {2024}
}
Comments
20 pages