Multiplicity of the special fiber of blowups
| dc.creator | Corso, Alberto | |
| dc.creator | Polini, Claudia | |
| dc.creator | Vasconcelos, Wolmer V. | |
| dc.date | 2003-07-02 | |
| dc.date.accessioned | 2026-07-07T04:59:22Z | |
| dc.date.available | 2026-07-07T04:59:22Z | |
| dc.description | Let $(R, {\mathfrak m})$ be a Noetherian local ring and let $I$ be an ${\mathfrak m}$-primary ideal. In this paper we give sharp bounds on the multiplicity of the special fiber ring ${\mathcal F}$ of $I$ in terms of other well-known invariants of $I$. A special attention is then paid in studying when equality holds in these bounds, with a particular interest in the unmixedness or, better, the Cohen-Macaulayness of ${\mathcal F}$. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307037 | |
| dc.identifier | http://arxiv.org/abs/math/0307037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67959 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A30, 13B21, 13D40 | |
| dc.title | Multiplicity of the special fiber of blowups | |
| dc.type | text |