Ideals of varieties parameterized by certain symmetric tensors

Details Ideals of varieties parameterized by certain symmetric tensors Ideals of varieties parameterized by certain symmetric tensors

2007-05-14

arxiv.org/abs/0705.1942v3

Journ. of P. and A. Algebra, 212, (2008), 6, pp. 1542-1559

Mathematics

Algebraic Geometry

19 pages

Scientific paper

10.1016/j.jpaa.2007.10.022

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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