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

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

2008-09-10

arxiv.org/abs/0809.1701v1

Mathematics

Algebraic Geometry

Scientific paper

Let V_n be the Segre embedding of (P^1) x ... X (P^1) (n times). We prove
that the higher secant varieties, \sigma_s(V_n), always have the expected
dimension, except for \sigma_3(V_4), which is of dimension 1 less than
expected.

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