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- W4308755512 abstract "We prove that the multi-Rees algebra $mathcal{R}(I_1 oplus cdots oplus I_r)$ of a collection of strongly stable ideals $I_1, ldots, I_r$ is of fiber type. In particular, we provide a Grobner basis for its defining ideal as a union of a Grobner basis for its special fiber and binomial syzygies. We also study the Koszulness of $mathcal{R}(I_1 oplus cdots oplus I_r)$ based on parameters associated to the collection. Furthermore, we establish a quadratic Grobner basis of the defining ideal of $mathcal{R}(I_1 oplus I_2)$ where each of the strongly stable ideals has two quadric Borel generators. As a consequence, we conclude that this multi-Rees algebra is Koszul." @default.
- W4308755512 created "2022-11-15" @default.
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- W4308755512 date "2020-12-30" @default.
- W4308755512 modified "2023-10-16" @default.
- W4308755512 title "Multi-Rees Algebras of Strongly Stable Ideals" @default.
- W4308755512 doi "https://doi.org/10.48550/arxiv.2012.15447" @default.
- W4308755512 hasPublicationYear "2020" @default.
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