BCM-thresholds of hypersurfaces
Commutative Algebra
2024-04-12 v1
Abstract
In this paper, we use big Cohen-Macaulay algebras to define a characteristic free analog of the -thresholds, which we call BCM-thresholds, in the case of principal ideals. We prove that, similarly to the case of the -thresholds, the set of BCM-thresholds and the set of BCM-jumping numbers agree. We also relate some BCM-thresholds to splittings of maps from the ring to a big Cohen-Macaulay algebra.
Keywords
Cite
@article{arxiv.2404.07438,
title = {BCM-thresholds of hypersurfaces},
author = {Sandra Rodríguez-Villalobos},
journal= {arXiv preprint arXiv:2404.07438},
year = {2024}
}
Comments
10 pages, comments welcome