Formulas of F-thresholds and F-jumping coefficients on toric rings
| dc.creator | Hirose, Daisuke | |
| dc.date | 2007-09-11 | |
| dc.date | 2008-08-04 | |
| dc.date.accessioned | 2026-07-07T09:54:07Z | |
| dc.date.available | 2026-07-07T09:54:07Z | |
| dc.description | F-thresholds are defined by Mustata, Takagi and Watanabe in [F-thresholds and Bernstein-Sato polynomials], which are invariants of the pair of ideals on rings of characteristic $p$. In their paper, it is proved F-thresholds equal to jumping numbers for the test ideal on regular local rings. In this note, we give an formula of F-thresholds on toric rings. This formula is a generalization of the example in [Huneke, Mustata, Takagi and Watanabe:F-thresholds, tight closure, integral closure, and multiplicity bounds]. We prove that there exists an inequality between F-jumping coefficients and F-thresholds. In particular, we observe a comparison between F-pure thresholds and F-thresholds. As applications, we prove the characterization of regularity for toric rings defined by a simplicial cone, and the rationality of F-thresholds in some cases. | |
| dc.description | 20 pages,corrected some typos,changed statements in section 5 | |
| dc.identifier | https://arxiv.org/abs/0709.1627 | |
| dc.identifier | http://arxiv.org/abs/0709.1627 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166199 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A35,14M25 | |
| dc.title | Formulas of F-thresholds and F-jumping coefficients on toric rings | |
| dc.type | text |