Stabilizers for nondegenerate matrices of boundary format and Steiner bundles
| dc.creator | Dionisi, Carla | |
| dc.date | 2003-12-12 | |
| dc.date | 2003-12-16 | |
| dc.date.accessioned | 2026-07-07T05:03:53Z | |
| dc.date.available | 2026-07-07T05:03:53Z | |
| dc.description | In this paper nondegenerate multidimensional matrices of boundary format in $V_0 \otimes ... \otimes V_p$ are investigated by their link with Steiner vector bundles on product of projective spaces. For any nondegenerate matrix $A$ the stabilizer for the $SL(V_0)\times ... \times SL(V_p)$-action, $Stab(A)$, is completely described. In particular we prove that there exists an explicit action of SL(2) on $V_0 \otimes ... \otimes V_p$ such that $Stab(A)^0\subseteq SL(2)$ and the equality holds if and only if $A$ belongs to a unique $SL(V_0)\times >... \times SL(V_p)$-orbit containing the identity matrices. | |
| dc.description | 14 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0312264 | |
| dc.identifier | http://arxiv.org/abs/math/0312264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69590 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05; 15A72 | |
| dc.title | Stabilizers for nondegenerate matrices of boundary format and Steiner bundles | |
| dc.type | text |