A new version of $\mathfrak{a}$-tight closure
| dc.creator | Vraciu, Adela | |
| dc.date | 2007-03-30 | |
| dc.date.accessioned | 2026-07-07T07:55:08Z | |
| dc.date.available | 2026-07-07T07:55:08Z | |
| dc.description | Hara and Yoshida introduced a notion of $\aaa$-tight closure in 2003, and they proved that the test ideals given by this operation correspond to multiplier ideals. However, their operation is not a true closure. The alternative operation introduced here is a true closure. Moreover, we define a joint Hilbert-Kunz multiplicity that can be used to test for membership in this closure. We study the connections between the Hara-Yoshida operation and the one introduced here, primarily from the point of view of test ideals. We also consider variants with positive real exponents. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703932 | |
| dc.identifier | http://arxiv.org/abs/math/0703932 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126866 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35 | |
| dc.title | A new version of $\mathfrak{a}$-tight closure | |
| dc.type | text |