On linear spaces of skew-symmetric matrices of constant rank

Laurent Manivel; Emilia Mezzetti

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On linear spaces of skew-symmetric matrices of constant rank

Laurent Manivel·Emilia Mezzetti

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Abstract

We describe the space of projective planes of complex skew-symmetric matrices of order six and constant rank four. We prove that it has four connected components, all of dimension 26 and homogeneous under the action of PGL_6.

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Laurent Manivel, Emilia Mezzetti. 2004-10-25. On linear spaces of skew-symmetric matrices of constant rank. https://arxiv.org/abs/math/0410520

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