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arXiv:0705.1942 [math.AG]AbstractReferencesReviewsResources

Ideals of varieties parameterized by certain symmetric tensors

Alessandra Bernardi

Published 2007-05-14, updated 2007-10-17Version 3

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.

Comments: 19 pages
Journal: Journ. of P. and A. Algebra, 212, (2008), 6, pp. 1542-1559
Categories: math.AG, math.AC
Subjects: 14N05, 14J26, 14M15
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