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

Catalisano, M. V.; Geramita, A.; Gimigliano, A.

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

Authors

Catalisano, M. V.

Geramita, A.

Gimigliano, A.

Description

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 is of dimension 1 less than expected.

Keywords

Algebraic Geometry, Commutative Algebra, 14N15; 14M99

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http://salesiana.dossiersoluciones.com/handle/123456789/168805

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1701
http://arxiv.org/abs/0809.1701

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arXiv

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

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