On the equations defining curves in a polynomial algebra
| dc.creator | Zeng, Ze Min | |
| dc.date | 2005-08-17 | |
| dc.date.accessioned | 2026-07-07T05:22:25Z | |
| dc.date.available | 2026-07-07T05:22:25Z | |
| dc.description | Let $A$ be a commutative Noetherian ring of dimension $n$ ($n \ge 3$). Let $I$ be a local complete intersection ideal in $A[T]$ of height $n$. Suppose $I/{I^2}$ is free ${A[T]}/I$-module of rank $n$ and $({A[T]}/I)$ is torsion in $K_0(A[T])$. It is proved in this paper that $I$ is a set theoretic complete intersection ideal in $A[T]$ if one of the following conditions holds: (1) $n$ $\ge 5$, odd; (2) $n$ is even, and $A$ contains the field of rational numbers; (3) $n = 3$, and $A$ contains the field of rational numbers. | |
| dc.description | 11 pages. Accepted by the journal Communications in Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0508304 | |
| dc.identifier | http://arxiv.org/abs/math/0508304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76052 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13C10, 13C40 | |
| dc.title | On the equations defining curves in a polynomial algebra | |
| dc.type | text |