Bernardi, A.
(2007)
Ideals of varieties parameterized by certain symmetric tensors.
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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 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.
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 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.
Document type
Preprint
Creators
Keywords
Segre-Veronese varieties
Veronese varieties
Ideals
generic hypermatrices
week generic hypermatrices
hyperdeterminant
blow up
projections
Subjects
DOI
Deposit date
11 Oct 2007
Last modified
16 May 2011 12:06
URI
Other metadata
Document type
Preprint
Creators
Keywords
Segre-Veronese varieties
Veronese varieties
Ideals
generic hypermatrices
week generic hypermatrices
hyperdeterminant
blow up
projections
Subjects
DOI
Deposit date
11 Oct 2007
Last modified
16 May 2011 12:06
URI
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