arXiv Analytics

Sign in

arXiv:math/0410520 [math.AG]AbstractReferencesReviewsResources

On linear spaces of skew-symmetric matrices of constant rank

Laurent Manivel, Emilia Mezzetti

Published 2004-10-25Version 1

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.

Comments: 12 pages
Categories: math.AG
Subjects: 14M15, 14F05, 15A03
Related articles: Most relevant | Search more
arXiv:2206.00503 [math.AG] (Published 2022-06-01)
Pencils of singular quadrics of constant rank and their orbits
arXiv:1605.05648 [math.AG] (Published 2016-05-18)
Gushel-Mukai varieties: linear spaces and periods
arXiv:1903.06377 [math.AG] (Published 2019-03-15)
The Hilbert scheme of a pair of linear spaces

Links

Toolbox