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- W4289783973 abstract "Let R be a standard graded polynomial ring in f variables over a field and Psi be an f by g matrix of linear forms from R, where g is positive and less than f. Assume that the row vector of variables annihilates Psi and that the ideal I generated by the g by g minors of Psi has grade exactly one short of the maximum possible grade. We resolve R/I, prove that I has a g-linear resolution, record explicit formulas for the h-vector and multiplicity of R/I, and prove that if f-g is even, then the ideal I is unmixed. Furthermore, if f-g is odd, then we identify an explicit generating set for the unmixed part, I^{unm}, of I, resolve R/I^{unm}, and record explicit formulas for the h-vector of R/I^{unm}. These results have applications to the study of the blow-up algebras associated to linearly presented grade three Gorenstein ideals." @default.
- W4289783973 created "2022-08-04" @default.
- W4289783973 creator A5026980224 @default.
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- W4289783973 date "2015-05-19" @default.
- W4289783973 modified "2023-09-24" @default.
- W4289783973 title "A matrix of linear forms which is annihilated by a vector of indeterminates" @default.
- W4289783973 doi "https://doi.org/10.48550/arxiv.1505.05206" @default.
- W4289783973 hasPublicationYear "2015" @default.
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