Multiplier ideals, V-filtration, and spectrum
| dc.creator | Budur, Nero | |
| dc.creator | Saito, Morihiko | |
| dc.date | 2003-05-08 | |
| dc.date | 2004-04-14 | |
| dc.date.accessioned | 2026-07-07T04:57:51Z | |
| dc.date.available | 2026-07-07T04:57:51Z | |
| dc.description | For an effective divisor on a smooth algebraic variety or a complex manifold, we show that the associated multiplier ideals coincide essentially with the filtration induced by the filtration V constructed by B. Malgrange and M. Kashiwara. This implies another proof of a theorem of L. Ein, R. Lazarsfeld, K.E. Smith and D. Varolin that any jumping coefficient in the interval (0,1] is a root of the Bernstein-Sato polynomial up to sign. We also give a refinement (using mixed Hodge modules) of the formula for the coefficients of the spectrum for exponents not greater than one or greater than the dimension of the variety minus one. | |
| dc.description | 13 pages, the statement of the main theorem is improved | |
| dc.identifier | https://arxiv.org/abs/math/0305118 | |
| dc.identifier | http://arxiv.org/abs/math/0305118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67405 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S35 | |
| dc.title | Multiplier ideals, V-filtration, and spectrum | |
| dc.type | text |