Secants of Lagrangian Grassmannians |
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Authors: | Ada Boralevi Jaros?aw Buczyński |
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Institution: | 1. Texas A&M University, College Station, TX, USA
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Abstract: | 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. |
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