The Hilbert scheme parameterizing finite length subschemes of the line with support at the origin
| dc.creator | Laksov, Dan | |
| dc.creator | Skjelnes, Roy M. | |
| dc.date | 1999-12-17 | |
| dc.date.accessioned | 2026-07-07T05:32:20Z | |
| dc.date.available | 2026-07-07T05:32:20Z | |
| dc.description | We introduce symmetrizing operators of the polynomial ring $A[x]$ in the varible $x$ over a ring $A$. When $A$ is an algebra over a field $k$ these operators are used to characterize the monic polynomials $F(x)$ of degree $n$ in $A[x]$ such that $A\otimes_k k[x]_{(x)}/(F(x))$ is a free $A$-module of rank $n$. We use the characterization to determine the Hilbert scheme parameterizing subschemes of length $n$ of $k[x]_{(x)}$. | |
| dc.identifier | https://arxiv.org/abs/math/9912137 | |
| dc.identifier | http://arxiv.org/abs/math/9912137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79623 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Hilbert scheme parameterizing finite length subschemes of the line with support at the origin | |
| dc.type | text |