On linear spaces of skew-symmetric matrices of constant rank

Details On linear spaces of skew-symmetric matrices of constant rank On linear spaces of skew-symmetric matrices of constant rank

2004-10-25

arxiv.org/abs/math/0410520v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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