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- W2952680181 abstract "Let $Isubseteq R=kk[x_1,...,x_n]$ be a homogeneous equigenerated ideal of degree $r$. We show here that the shapes of the Betti tables of the ideals $I^d$ stabilize, in the sense that there exists some $D$ such that for all $dgeq D$, $betti{i}{j+rd}(I^d)neq 0Leftrightarrow betti{i}{j+rD}(I^D)neq 0$. We also produce upper bounds for the stabilization index $Stab(I)$. This strengthens the result of Cutkosky, Herzog, and Trung that the Castelnuovo-Mumford regularity $reg(I^d)$ is eventually a linear function in $d$." @default.
- W2952680181 created "2019-06-27" @default.
- W2952680181 creator A5086438771 @default.
- W2952680181 date "2011-06-12" @default.
- W2952680181 modified "2023-09-27" @default.
- W2952680181 title "Stabilization of Betti Tables" @default.
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