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- W2963841285 abstract "Let $S_n$ be a polynomial ring with $n$ variables over a field and ${I_n}_{n geq 1}$ a chain of ideals such that each $I_n$ is a monomial ideal of $S_n$ fixed by permutations of the variables. In this paper, we present a way to determine all nonzero positions of Betti tables of $I_n$ for all large intergers $n$ from the $mathbb Z^m$-graded Betti table of $I_m$ for some integer $m$. Our main result shows that the projective dimension and the regularity of $I_n$ eventually become linear functions on $n$, confirming a special case of conjectures posed by Le, Nagel, Nguyen and Romer." @default.
- W2963841285 created "2019-07-30" @default.
- W2963841285 creator A5043356691 @default.
- W2963841285 date "2019-07-23" @default.
- W2963841285 modified "2023-09-24" @default.
- W2963841285 title "Betti tables of monomial ideals fixed by permutations of the variables" @default.
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- W2963841285 doi "https://doi.org/10.48550/arxiv.1907.09727" @default.
- W2963841285 hasPublicationYear "2019" @default.
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