On real log canonical thresholds
| dc.creator | Saito, Morihiko | |
| dc.date | 2007-07-16 | |
| dc.date | 2007-07-25 | |
| dc.date.accessioned | 2026-07-07T08:19:50Z | |
| dc.date.available | 2026-07-07T08:19:50Z | |
| dc.description | We introduce real log canonical threshold and real jumping numbers for real algebraic functions. A real jumping number is a root of the $b$-function up to a sign if its difference with the minimal one is less than 1. The real log canonical threshold, which is the minimal real jumping number, coincides up to a sign with the maximal pole of the distribution defined by the complex power of the absolute value of the function. However, this number may be greater than 1 if the codimension of the real zero locus of the function is greater than 1. So it does not necessarily coincide with the maximal root of the b-function up to a sign, nor with the log canonical threshold of the complexification. In fact, the real jumping numbers can be even disjoint from the non-integral jumping numbers of the complexification. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0707.2308 | |
| dc.identifier | http://arxiv.org/abs/0707.2308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134900 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40 | |
| dc.title | On real log canonical thresholds | |
| dc.type | text |