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- W2774190835 abstract "Given an homogeneous monomial ideal $I$, we provide a question- and example-based investigation of the stabilization patterns of the Betti tables shapes of $I^d$ as we vary $d$. We build off Whieldon's definition of the stabilization index of $I$, Stab$(I)$, to define the stabilization sequence of $I$, StabSeq$(I)$, and use it to explore changes in the shapes of the Betti tables of $I^d$ as we vary $d$. We also present the stabilization indices and sequences of the collection of ideals ${I_{n}}$ where $I_{n}=(a^{2n}b^{2n}c^{2n},b^{4n}c^{2n},a^{3n}c^{3n},a^{6n-1}b)subseteq Bbbk[a,b,c]$." @default.
- W2774190835 created "2017-12-22" @default.
- W2774190835 creator A5014538736 @default.
- W2774190835 date "2017-12-12" @default.
- W2774190835 modified "2023-09-27" @default.
- W2774190835 title "Betti table Stabilization of Homogeneous Monomial Ideals" @default.
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- W2774190835 hasPublicationYear "2017" @default.
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