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arXiv · 1006.1925

Secants of Lagrangian Grassmannians

Ada Boralevi·Jarosław Buczyński
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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.

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Ada Boralevi, Jarosław Buczyński. 2010-06-09. Secants of Lagrangian Grassmannians. https://doi.org/10.1007/s10231-010-0171-0

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