21 citations · 21 across the 3 of their papers we have counts for
3 papers
Bipolynomial Hilbert functions
E. Carlini, M. V. Catalisano, A. V. Geramita
Let X be a closed subscheme and let HF(X,-) and hp(X,-) denote, respectively, the Hilbert function and the Hilbert polynomial of X. We say that X has bipolynomial Hilbert function…
Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \geq 5
M. V. Catalisano, A. Geramita, A. Gimigliano
Let V_n be the Segre embedding of (P^1) x ... X (P^1) (n times). We prove that the higher secant varieties, σ_s(V_n), always have the expected dimension, except for σ_3(V_4), which…
Secant Varieties of Grasmann Varieties
M. V. Catalisano, A. V. Geramita, A. Gimigliano
In this paper we discuss the dimensions of the (higher) secant varieties to the Grassmann varieties, embedded via the Plucker embeddings. We use Terracini's Lemma and the duality i…