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# 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} }

- Published 2004 in Foundations of Computational Mathematics
DOI:10.1007/s10208-003-0115-9

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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