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math.AG2009★ 4 cited
Subspace arrangements, configurations of linear spaces and the quadrics containing them
E. Carlini, M. V. Catalisano, A. V. Geramita
A subspace arrangement in a vector space is a finite collection of vector subspaces. Similarly, a configuration of linear spaces in a projective space is a finite collection of lin…
math.AG2004★ 19 cited
Osculating Varieties of Veronesean and their higher secant varieties
A. Bernardi, M. V. Catalisano, A. Gimigliano +1
We consider the varieties of the k-osculating spaces to the Veronese varieties, the uple embeddings of $\PP n$; we study the dimension of their higher secant variet…
math.AG2003★ 17 cited
Higher secant varieties of Segre-Veronese varieties
M. V. Catalisano, A. V. Geramita, A. Gimigliano
We study the dimension of the higher secant varieties of embedded the morphism given by ${\cal O}_{\Bbb X}({a_1,...…