The ideal of a Segre variety $mathbb{P}^{n_{1}} imes cdots imesmathbb{P}^{n_{t}}hookrightarrow mathbb{P}^{(n_{1}+1)cdots (n_{t}+1)-1}$ 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 general points and of Veronese varieties from a Cohen-Macaulay subvariety of codimension $2$.
Ideals of varieties parameterized by certain symmetric tensors / Bernardi, Alessandra. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 212:2(2008), pp. 1542-1559.
Titolo: | Ideals of varieties parameterized by certain symmetric tensors |
Autori: | Bernardi, Alessandra |
Autori Unitn: | |
Titolo del periodico: | JOURNAL OF PURE AND APPLIED ALGEBRA |
Anno di pubblicazione: | 2008 |
Numero e parte del fascicolo: | 2 |
Codice identificativo Scopus: | 2-s2.0-39049169968 |
Codice identificativo Pubmed: | 10.1016/j.jpaa.2007.10.022 |
Codice identificativo ISI: | WOS:000253824000018 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jpaa.2007.10.022 |
Handle: | http://hdl.handle.net/11572/134884 |
Citazione: | Ideals of varieties parameterized by certain symmetric tensors / Bernardi, Alessandra. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 212:2(2008), pp. 1542-1559. |
Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
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