On fiber cones of ${\mathfrak m}$-primary ideals
| dc.creator | Jayanthan, A. V. | |
| dc.creator | Puthenpurakal, Tony J. | |
| dc.creator | Verma, J. K. | |
| dc.date | 2004-08-25 | |
| dc.date | 2006-03-23 | |
| dc.date.accessioned | 2026-07-07T06:38:45Z | |
| dc.date.available | 2026-07-07T06:38:45Z | |
| dc.description | Two formulas for the multiplicity of the fiber cone $F(I)=\oplus_{n=0}^{\infty} I^n/\m I^n$ of an $\m$-primary ideal of a $d$-dimensional Cohen-Macaulay local ring $(R,\m)$ are derived in terms of the mixed multiplicity $e_{d-1}(\m | I),$ the multiplicity $e(I)$ and superficial elements. As a consequence, the Cohen-Macaulay property of $F(I)$ when $I$ has minimal mixed multiplicity or almost minimal mixed multiplicity is characterized in terms of reduction number of $I$ and lengths of certain ideals. We also characterize Cohen-Macaulay and Gorenstein property of fiber cones of $\m$-primary ideals with a $d$-generated minimal reduction $J$ satisfying (i) $\ell(I^2/JI)=1$ or (ii) $\ell(I\m/J\m)=1.$ | |
| dc.description | 17 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0408346 | |
| dc.identifier | http://arxiv.org/abs/math/0408346 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100850 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10, 13H15, 13A30 (Primary) 13C15, 13A02 (Secondary) | |
| dc.title | On fiber cones of ${\mathfrak m}$-primary ideals | |
| dc.type | text |