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math.AG2010★ 88 cited
Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture
Jarosław Buczyński, Adam Ginensky, J. M. Landsberg
We address special cases of a question of Eisenbud on the ideals of secant varieties of Veronese re-embeddings of arbitrary varieties. Eisenbud's question generalizes a conjecture…
math.AG2010★ 13 cited
Secants of Lagrangian Grassmannians
Ada Boralevi, Jarosław Buczyński
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 vari…
math.AG2010
Duality and integrability on contact Fano manifolds
Jarosław Buczyński
We address the problem of classification of contact Fano manifolds. It is conjectured that every such manifold is necessarily homogeneous. We prove that the Killing form, the Lie a…