Ideals of varieties parameterized by certain symmetric tensors
نویسنده
چکیده
The ideal of a Segre variety P1 × · · · × Pt ↪→ P(n1+1)···(nt+1)−1 is generated by the 2-minors of a generic hypermatrix of indeterminates (see [Ha1] and [Gr]). We extend this result to the case of SegreVeronese varieties. The main tool is the concept of “weak generic hypermatrix” which allows us to treat also the case of projection of Veronese surfaces from a set of general points and of Veronese varieties from a Cohen-Macaulay subvariety of codimension 2.
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