Secants of Lagrangian Grassmannians
Algebraic Geometry
2013-10-15 v2
Abstract
We study the dimensions of secant varieties of the Grassmannian of Lagrangian subspaces in a symplectic vector space. We calculate these dimensions for third and fourth secant varieties. Our result is obtained by providing a normal form for four general points on such a Grassmannian and by explicitly calculating the tangent spaces at these four points.
Cite
@article{arxiv.1006.1925,
title = {Secants of Lagrangian Grassmannians},
author = {Ada Boralevi and Jarosław Buczyński},
journal= {arXiv preprint arXiv:1006.1925},
year = {2013}
}