On F-pure thresholds
| dc.creator | Takagi, Shunsuke | |
| dc.creator | Watanabe, Kei-ichi | |
| dc.date | 2003-12-29 | |
| dc.date | 2004-11-01 | |
| dc.date.accessioned | 2026-07-07T05:04:15Z | |
| dc.date.available | 2026-07-07T05:04:15Z | |
| dc.description | Using the Frobenius map, we introduce a new invariant for a pair $(R,\a)$ of a ring $R$ and an ideal $\a \subset R$, which we call the F-pure threshold $\mathrm{c}(\a)$ of $\a$, and study its properties. We see that the F-pure threshold characterizes several ring theoretic properties. By virtue of Hara and Yoshida's result, the F-pure threshold $\mathrm{c}(\a)$ in characteristic zero corresponds to the log canonical threshold $\mathrm{lc}(\a)$ which is an important invariant in birational geometry. Using the F-pure threshold, we prove some ring theoretic properties of three-dimensional terminal singularities of characteristic zero. Also, in fixed prime characteristic, we establish several properties of F-pure threshold similar to those of the log canonical threshold with quite simple proofs. | |
| dc.description | 19 pages; v.2: minor changes, to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0312486 | |
| dc.identifier | http://arxiv.org/abs/math/0312486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69729 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A35; 14B05 | |
| dc.title | On F-pure thresholds | |
| dc.type | text |