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Secants of Lagrangian Grassmannians (1006.1925v2)
Published 9 Jun 2010 in math.AG
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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