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arXiv · 0705.1942

Ideals of varieties parameterized by certain symmetric tensors

Alessandra Bernardi
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Abstract

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.

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Alessandra Bernardi. 2007-05-14. Ideals of varieties parameterized by certain symmetric tensors. https://doi.org/10.1016/j.jpaa.2007.10.022

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