A characteristic p analogue of plt singularities and adjoint ideals
| dc.creator | Takagi, Shunsuke | |
| dc.date | 2006-03-20 | |
| dc.date | 2007-05-17 | |
| dc.date.accessioned | 2026-07-07T08:01:55Z | |
| dc.date.available | 2026-07-07T08:01:55Z | |
| dc.description | We introduce a new variant of tight closure and give an interpretation of adjoint ideals via this tight closure. As a corollary, we prove that a log pair $(X,Δ)$ is plt if and only if the modulo $p$ reduction of $(X,Δ)$ is divisorially F-regular for all large $p \gg 0$. Here, divisorially F-regular pairs are a class of singularities in positive characteristic introduced by Hara and Watanabe in terms of Frobenius splitting. | |
| dc.description | 22 pages. A lot of changes. Some errors and many typos fixed | |
| dc.identifier | https://arxiv.org/abs/math/0603460 | |
| dc.identifier | http://arxiv.org/abs/math/0603460 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129068 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14B05 (Primary); 13A35 (Secondary) | |
| dc.title | A characteristic p analogue of plt singularities and adjoint ideals | |
| dc.type | text |