Let Vn be the Segre embedding of P1×· · ·×P1 (n times). We prove that the higher secant varieties σs(Vn) always have the expected dimension, except for σ3(V4), which is of dimension 1 less than expected.
A.Gimigliano, A.V.Geramita, M.V.Catalisano (2011). Secant varieties of ℙ1 × ⋯ × ℙ1 (n-times) are not defective for n ≥ 5. JOURNAL OF ALGEBRAIC GEOMETRY, 20(2), 295-327 [10.1090/S1056-3911-10-00537-0].
Secant varieties of ℙ1 × ⋯ × ℙ1 (n-times) are not defective for n ≥ 5
GIMIGLIANO, ALESSANDRO;
2011
Abstract
Let Vn be the Segre embedding of P1×· · ·×P1 (n times). We prove that the higher secant varieties σs(Vn) always have the expected dimension, except for σ3(V4), which is of dimension 1 less than expected.File in questo prodotto:
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