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- W2964227314 abstract "In this paper, we use the tools of Gröbner bases and combinatorial secant varieties to study the determinantal ideals It of the extended Hankel matrices. Denote by c-chain a sequence a1,…,ak with ai+c<ai+1 for all i=1,…,k−1. Using the results of c-chain, we solve the membership problem for the symbolic powers It(s) and we compute the primary decomposition of the product It1⋯Itk of the determinantal ideals. Passing through the initial ideals and algebras we prove that the product It1⋯Itk has a linear resolution and the multi-homogeneous Rees algebra Rees(It1,…,Itk) is defined by a Gröbner basis of quadrics." @default.
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- W2964227314 date "2011-06-01" @default.
- W2964227314 modified "2023-09-27" @default.
- W2964227314 title "The determinantal ideals of extended Hankel matrices" @default.
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- W2964227314 doi "https://doi.org/10.1016/j.jpaa.2010.09.008" @default.
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