Hilbert schemes of finite abelian group orbits and Grobner fans
| dc.creator | Morita, Tomohito | |
| dc.date | 2007-12-18 | |
| dc.date.accessioned | 2026-07-07T08:49:51Z | |
| dc.date.available | 2026-07-07T08:49:51Z | |
| dc.description | Let $G$ be a finite abelian subgroup of $PGL(r-1,K)=\mathrm{Aut}(¶^{r-1}_K)$. In this paper, we prove that the normalization of the $G$-orbit Hilbert scheme $\Hilb^G(¶^{r-1})$ is described as a toric variety, which corresponds to the Gröbner fan for some homogeneous ideal $I$ of $K[x_1, ..., x_r]$. | |
| dc.description | 13 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0712.2892 | |
| dc.identifier | http://arxiv.org/abs/0712.2892 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144451 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13P10; 14L30; 14E15; 14M25 | |
| dc.title | Hilbert schemes of finite abelian group orbits and Grobner fans | |
| dc.type | text |