On linear spaces of skew-symmetric matrices of constant rank

Manivel, Laurent; Mezzetti, Emilia

On linear spaces of skew-symmetric matrices of constant rank

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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.
12 pages

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Algebraic Geometry, 14M15; 14F05; 15A03

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http://salesiana.dossiersoluciones.com/handle/123456789/72990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410520
http://arxiv.org/abs/math/0410520

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On linear spaces of skew-symmetric matrices of constant rank

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