On linear spaces of skew-symmetric matrices of constant rank
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0410520,
title = {On linear spaces of skew-symmetric matrices of constant rank},
author = {Laurent Manivel and Emilia Mezzetti},
journal= {arXiv preprint arXiv:math/0410520},
year = {2007}
}
Comments
12 pages