On multiplicities of graded sequences of ideals
| dc.creator | Mustata, Mircea | |
| dc.date | 2002-03-22 | |
| dc.date.accessioned | 2026-07-07T04:47:14Z | |
| dc.date.available | 2026-07-07T04:47:14Z | |
| dc.description | We generalize a result of Ein-Lazarsfeld-Smith (math.AG/0202303), proving that for an arbitrary sequence of zero-dimensional ideals, the multiplicity of the sequence is equal with its volume. This is done using a deformation to monomial ideals. As a consequence of our result, we obtain a formula which computes the multiplicity of an ideal I in terms of the multiplicities of the initial monomial ideals of the powers I^m. We use this to give a new proof of the inequality between multiplicity and the log canonical threshold due to de Fernex, Ein and the author. | |
| dc.description | AMS-LaTeX, 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203235 | |
| dc.identifier | http://arxiv.org/abs/math/0203235 | |
| dc.identifier | J. Algebra 256 (2002), 229-249. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63634 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13H15, 14B05 | |
| dc.title | On multiplicities of graded sequences of ideals | |
| dc.type | text |