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On the ideals of secant varieties of Segre varieties

J. M. Landsberg·Laurent Manivel
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Abstract

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.

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J. M. Landsberg, Laurent Manivel. 2003-11-21. On the ideals of secant varieties of Segre varieties. https://arxiv.org/abs/math/0311388

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