Let Vn be the Segre embedding of P1 x ... x 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.
Secant Varieties of P^1x … x P^1 (n-times) are NOT Defective for n>=5
CATALISANO, MARIA VIRGINIA;GERAMITA, ANTHONY VITO;
2011-01-01
Abstract
Let Vn be the Segre embedding of P1 x ... x 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.
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