On linear spaces of skew-symmetric matrices of constant rank
classification
🧮 math.AG
keywords
constantfourmatricesrankskew-symmetricactioncomplexcomponents
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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.
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