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- W3103431940 abstract "A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid $S$, consider the family of shifted monoids $M_n$ obtained by adding $n$ to each generator of $S$. In this paper, we characterize the Ap'ery set of $M_n$ in terms of the Ap'ery set of the base monoid $S$ when $n$ is sufficiently large. We give a highly efficient algorithm for computing the Ap'ery set of $M_n$ in this case, and prove that several numerical monoid invariants, such as the genus and Frobenius number, are eventually quasipolynomial as a function of $n$." @default.
- W3103431940 created "2020-11-23" @default.
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- W3103431940 date "2018-06-01" @default.
- W3103431940 modified "2023-09-26" @default.
- W3103431940 title "Apéry sets of shifted numerical monoids" @default.
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- W3103431940 doi "https://doi.org/10.1016/j.aam.2018.01.005" @default.
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