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2013-10-23

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/195200

On monomial curves obtained by gluing

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We study arithmetic properties of tangent cones associated to large families of monomial curves obtained by gluing. In particular, we characterize their Cohen-Macaulay and Gorenstein properties and prove that they have non-decreasing Hilbert functions. The results come from a careful analysis of some special Apéry sets of the numerical semigroups obtained by gluing under a condition that we call specific gluing. As a consequence, we complete and extend the results proved by Arslan et al. (in Proc. Am. Math. Soc. 137:2225-2232, 2009) about nice gluings by using different techniques. Our results also allow to prove that for a given numerical semigroup with a non-decreasing Hilbert function and an integer $q>1$, extensions of it by $q$, except a finite number, have non-decreasing Hibert functions.

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https://doi.org/10.1007/s00233-013-9536-1

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Corbes algebraiques, Mòduls (Àlgebra), Anells locals, Semigrups

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Algebraic curves, Modules (Algebra), Local rings, Semigroups

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Articles publicats en revistes (Matemàtiques i Informàtica)

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JAFARI, Raheleh and ZARZUELA, Santiago. On monomial curves obtained by gluing. Semigroup Forum. 2013. Vol. 88, num. 397-416. ISSN 0037-1912. [consulted: 16 of October of 2026]. Available at: https://hdl.handle.net/2445/195200

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