On the ideals and singularities of secant varieties of Segre varieties
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We find minimal generators for the ideals of secant varieties of Segre varieties in the cases of k(1 n m) for all k, n,m, 2(n m p r) for all n, m, p, r (GSS conjecture for four factors), and 3(n m p) for all n, m, p and prove they are normal with rational singularities in the first case and arithmetically Cohen- Macaulay in the second two cases. 2007 London Mathematical Society.