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Paper detail

Secants of Lagrangian Grassmannians

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.

preprint2010arXivOpen access
Ada BoraleviJarosław Buczyński
math.AG
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Ada BoraleviJarosław Buczyński

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