The Hilbert Coefficients of the fiber cone and the $a$-invariant of the associated graded ring
| dc.creator | D'Cruz, Clare | |
| dc.creator | Puthenpurakal, Tony J. | |
| dc.date | 2006-01-22 | |
| dc.date | 2007-04-21 | |
| dc.date.accessioned | 2026-07-07T07:57:29Z | |
| dc.date.available | 2026-07-07T07:57:29Z | |
| dc.description | Let $(A,\m)$ be a Noetherian local ring with infinite residue field and let $I$ be an ideal in $A$ and let $F(I) = \oplus_{n \geq 0}I^n/\m I^n$ be the fiber-cone of $I$. We prove certain relations among the Hilbert coefficients of $F(I)$ when the $a$-invariant of the associated graded ring $G(I)$ is negative. | |
| dc.description | To appear in Canadian Journal of Math. Many examples added in section 5 on analytic spread three. Introduction is longer and more describtive. An appendix on filter regular sequences and minimal reductions added | |
| dc.identifier | https://arxiv.org/abs/math/0601510 | |
| dc.identifier | http://arxiv.org/abs/math/0601510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127665 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10, 13H15, 13A30 (Primary) 13C15, 13A02 (Secondary) | |
| dc.title | The Hilbert Coefficients of the fiber cone and the $a$-invariant of the associated graded ring | |
| dc.type | text |