On the Ideals of Secant Varieties of Segre Varieties

@article{Landsberg2004OnTI,
  title={On the Ideals of Secant Varieties of Segre Varieties},
  author={J. M. Landsberg and Laurent Manivel},
  journal={Foundations of Computational Mathematics},
  year={2004},
  volume={4},
  pages={397-422}
}
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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