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- W4289752793 abstract "We study a generalization of Nagata idealization for level algebras. These algebras are standard graded Artinian algebras whose Macaulay dual generator is given explicity as a bigraded polynomial of bidegree $(1,d)$. We consider the algebra associated to polynomials of the same type of bidegree $(d_1,d_2)$. We prove that the geometry of the Nagata hypersurface of order $e$ is very similar to the geometry of the original hypersurface. We study the Lefschetz properties for Nagata idealizations of order $e$, proving that WLP holds if $d_1geq d_2$. We give a complete description of the associated algebra in the monomial square free case." @default.
- W4289752793 created "2022-08-04" @default.
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- W4289752793 date "2018-07-17" @default.
- W4289752793 modified "2023-09-30" @default.
- W4289752793 title "Lefschetz Properties for Higher Order Nagata Idealizations" @default.
- W4289752793 doi "https://doi.org/10.48550/arxiv.1807.06415" @default.
- W4289752793 hasPublicationYear "2018" @default.
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