On the ideals of secant varieties of Segre varieties

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We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of small dimension in a few cases.
19 pages

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Algebraic Geometry, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/69301

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311388
 http://arxiv.org/abs/math/0311388

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arXiv