Motivated by the study of congruences of lines, we consider linear systems of skew-symmetric matrices of order six and constant rank four. We prove that, up to projective automorphisms, there exist exactly four types of such linear systems of dimension two, giving four families all of the same dimension.
On linear spaces of skew-symmetric matrices of constant rank
MEZZETTI, EMILIA
2005-01-01
Abstract
Motivated by the study of congruences of lines, we consider linear systems of skew-symmetric matrices of order six and constant rank four. We prove that, up to projective automorphisms, there exist exactly four types of such linear systems of dimension two, giving four families all of the same dimension.File in questo prodotto:
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