Ideals of varieties parameterized by certain symmetric tensors

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Bernardi, Alessandra
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Abstract
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The ideal of a Segre variety is generated by the 2-minors of a generic hypermatrix of indeterminates. We extend this result to the case of Segre-Veronese 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 generic points and of Veronese varieties from a Cohen-Macaulay subvariety of codimension 2.
Comment: 19 pages
Keywords
Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, 14N05, 14J26, 14M15
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