Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \geq 5

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168805Let 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 is of dimension 1 less than expected.Algebraic GeometryCommutative Algebra14N15; 14M99Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \geq 5text