Full paper in PDF:
$% C. Dionisi, Stabilizers for nondegenerate matrices of boundary format and Steiner
bundles, Rev. Mat. Complut. 17 (2004), 459–469.%$
Stabilizers for Nondegenerate Matrices of Boundary Format and Steiner Bundles
In this paper nondegenerate multidimensional matrices of boundary format in are investigated by their link with Steiner vector bundles on product of projective spaces. For any nondegenerate matrix the stabilizer for the -action, , is completely described. In particular we prove that there exists an explicit action of on such that and the equality holds if and only if belongs to a unique -orbit containing the identity matrices, according to Ancona and Ottaviani (2001).
Key words: vector bundles, multidimensional matrices, theory of invariants.
2000 Mathematics Subject Classification: 14F05, 15A72.