Secants of Lagrangian Grassmannians

Details Secants of Lagrangian Grassmannians Secants of Lagrangian Grassmannians

2010-06-09

arxiv.org/abs/1006.1925v2

Mathematics

Algebraic Geometry

Scientific paper

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.

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