Ideals of varieties parameterized by certain symmetric tensors

Bernardi, A. (2007) Ideals of varieties parameterized by certain symmetric tensors. [Preprint]

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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 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 generic points and of Veronese varieties from a Cohen-Macaulay subvariety of codimension 2.

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Bernardi, A.
Segre-Veronese varieties Veronese varieties Ideals generic hypermatrices week generic hypermatrices hyperdeterminant blow up projections
Deposit date
16 May 2007
Last modified
16 May 2011 12:06

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