Secants of Lagrangian Grassmannians

作者:Boralevi Ada*; Buczynski Jaroslaw
来源:Annali di Matematica Pura ed Applicata, 2011, 190(4): 725-739.
DOI:10.1007/s10231-010-0171-0

摘要

We study the dimensions of secant varieties of 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.

  • 出版日期2011-12