A Hilbert-Kunz criterion for solid closure in dimension two (characteristic zero)
| dc.creator | Brenner, Holger | |
| dc.date | 2004-03-17 | |
| dc.date.accessioned | 2026-07-07T05:06:29Z | |
| dc.date.available | 2026-07-07T05:06:29Z | |
| dc.description | Let I denote a homogeneous R_+-primary ideal in a two-dimensional normal standard-graded domain over an algebraically closed field of characteristic zero. We show that a homogeneous element f belongs to the solid closure I^* if and only if e_{HK}(I) = e_{HK}((I,f)), where e_{HK} denotes the (characteristic zero) Hilbert-Kunz multiplicity of an ideal. This provides a version in characteristic zero of the well-known Hilbert-Kunz criterion for tight closure in positive characteristic. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403285 | |
| dc.identifier | http://arxiv.org/abs/math/0403285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70488 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 13D40; 14H60 | |
| dc.title | A Hilbert-Kunz criterion for solid closure in dimension two (characteristic zero) | |
| dc.type | text |