Chains of integrally closed ideals
| dc.creator | Watanabe, Kei-ichi | |
| dc.date | 2002-12-25 | |
| dc.date.accessioned | 2026-07-07T04:54:03Z | |
| dc.date.available | 2026-07-07T04:54:03Z | |
| dc.description | Let $(A,\frak m)$ be an excellent normal local ring with algebraically closed residue class field. Given integrally closed $\frak m$-primary ideals $I\supset J$, we show that there is a composition series between $I$ and $J$, by integrally closed ideals only. Also we show that any given integrally closed $\fm$-primary ideal $I$, the family of integrally closed ideals $J\subset I, l_A(I/J)=1$ forms an algebraic variety with dimension $\dim A -1$. | |
| dc.description | 6 pages, to appear in contemporary math | |
| dc.identifier | https://arxiv.org/abs/math/0212339 | |
| dc.identifier | http://arxiv.org/abs/math/0212339 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66095 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13B22; 14N99 | |
| dc.title | Chains of integrally closed ideals | |
| dc.type | text |