On the irreducible components of the form ring and an application to intersection cycles
| dc.creator | Giorgi, Erika | |
| dc.date | 2004-02-06 | |
| dc.date.accessioned | 2026-07-07T05:05:12Z | |
| dc.date.available | 2026-07-07T05:05:12Z | |
| dc.description | Let $A$ be a commutative noetherian ring and $I$ an ideal in $A$. We characterize algebraically when all the minimal primes of the associated graded ring $G_I A$ contract to minimal primes of $A/I$. This, applied to intersection theory, means that there are no embedded distinguished varieties of intersection. The characterization is in terms of the analytic spread of certain localizations of $I$, the symbolic Rees algebra and the normalization of the Rees algebra, and extends results of Huneke, Vasconcelos and Martí-Farré. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402106 | |
| dc.identifier | http://arxiv.org/abs/math/0402106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70085 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13B22 (Primary); 14C17 (Secondary) | |
| dc.title | On the irreducible components of the form ring and an application to intersection cycles | |
| dc.type | text |