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• W2098698648 abstract "Let $G$ be a finitely generated abelian group, and let $S = A[x_1, ..., x_n]$ be a $G$-graded polynomial ring over a commutative ring $A$. Let $I_1, ..., I_s$ be $G$-homogeneous ideals in $S$, and let $M$ be a finitely generated $G$-graded $S$-module. We show that, when $A$ is Noetherian, the nonzero $G$-graded Betti numbers of $MI_1^{t_1} ... I_s^{t_s}$ exhibit an asymptotic linear behavior as the $t_i$s get large." @default.
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• W2098698648 date "2011-10-03" @default.
• W2098698648 modified "2023-09-23" @default.
• W2098698648 title "The eventual shape of Betti tables of powers of ideals" @default.
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