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- W4287996812 abstract "Several recent papers have examined a rational polyhedron $P_m$ whose integer points are in bijection with the numerical semigroups (cofinite, additively closed subsets of the non-negative integers) containing $m$. A combinatorial description of the faces of $P_m$ was recently introduced, one that can be obtained from the divisibility posets of the numerical semigroups a given face contains. In this paper, we study the faces of $P_m$ containing arithmetical numerical semigroups and those containing certain glued numerical semigroups, as an initial step towards better understanding the full face structure of $P_m$. In most cases, such faces only contain semigroups from these families, yielding a tight connection to the geometry of $P_m$." @default.
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- W4287996812 date "2019-12-09" @default.
- W4287996812 modified "2023-09-26" @default.
- W4287996812 title "Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups" @default.
- W4287996812 doi "https://doi.org/10.48550/arxiv.1912.04460" @default.
- W4287996812 hasPublicationYear "2019" @default.
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