When does the subadditivity theorem for multiplier ideals hold?
| dc.creator | Takagi, Shunsuke | |
| dc.creator | Watanabe, Kei-ichi | |
| dc.date | 2002-12-25 | |
| dc.date | 2003-05-30 | |
| dc.date.accessioned | 2026-07-07T04:54:04Z | |
| dc.date.available | 2026-07-07T04:54:04Z | |
| dc.description | Demailly, Ein and Lazarsfeld \cite{DEL} proved the subadditivity theorem for multiplier ideals, which states the multiplier ideal of the product of ideals is contained in the product of the individual multiplier ideals, on non-singular varieties. We prove that, in two-dimensional case, the subadditivity theorem holds on log-terminal singularities. However, in higher dimensional case, we have several counter-examples. We consider the subadditivity theorem for monomial ideals on toric rings, and construct a counter-example on a three-dimensional toric ring. | |
| dc.description | 12 pages, AMS-LaTeX; v.2: minor changes, to appear in Trans. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0212340 | |
| dc.identifier | http://arxiv.org/abs/math/0212340 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66096 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13B22; 14J17 | |
| dc.title | When does the subadditivity theorem for multiplier ideals hold? | |
| dc.type | text |