Behavior of local cohomology modules under polarization
| dc.creator | Miyazaki, Mitsuhiro | |
| dc.date | 2006-04-28 | |
| dc.date | 2006-12-21 | |
| dc.date.accessioned | 2026-07-07T07:36:36Z | |
| dc.date.available | 2026-07-07T07:36:36Z | |
| dc.description | Let $S=k[x_1,..., x_n]$ be a polynomial ring over a field $k$ with $n$ variables $x_1$, ..., $x_n$, $\mmmm$ the irrelevant maximal ideal of $S$, $I$ a monomial ideal in $S$ and $I'$ the polarization of $I$ in the polynomial ring $S'$ with $ρ$ variables. We show that each graded piece $H_\mmmm^i(S/I)_\aaa$, $\aaa\in\ZZZ^n$, of the local cohomology module $H_\mmmm^i(S/I)$ is isomorphic to a specific graded piece $H_{\mmmm'}^{i+ρ-n}(S'/I')_\alphaaa$, $\alphaaa\in\ZZZ^ρ$, of the local cohomology module $H_{\mmmm'}^{i+ρ-n}(S'/I')$, where $\mmmm'$ is the irrelevant maximal ideal of $S'$. | |
| dc.description | Now available from http://lib1.kyokyo-u.ac.jp/kiyou/kiyoupdf/no109/bkue10902.pdf | |
| dc.identifier | https://arxiv.org/abs/math/0604633 | |
| dc.identifier | http://arxiv.org/abs/math/0604633 | |
| dc.identifier | Bulletin of Kyoto University of Education 109, 9--13 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120481 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45; 13F55 | |
| dc.title | Behavior of local cohomology modules under polarization | |
| dc.type | text |