Nondegeneracy for Quotient Varieties under Finite Group Actions
| dc.creator | Kannan, S. S. | |
| dc.creator | Vanchinathan, P. | |
| dc.date | 2009-04-06 | |
| dc.date.accessioned | 2026-07-07T13:00:46Z | |
| dc.date.available | 2026-07-07T13:00:46Z | |
| dc.description | We prove that for an abelian group $G$ of order $n$ the morphism $ φ\colon \mathbf{P}(V^*)\longrightarrow \mathbf{P} ((\mathrm{sym}^n V^*)^G)$ defined by $φ([f]) = [\prod_{σ\in G} σ\cdot f ]$ is nondegenerate for every finite-dimensional representation $V$ of $G$ if and only if either $n$ is a prime number or $n=4$. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0904.0853 | |
| dc.identifier | http://arxiv.org/abs/0904.0853 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225943 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L30 | |
| dc.title | Nondegeneracy for Quotient Varieties under Finite Group Actions | |
| dc.type | text |