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http://hdl.handle.net/2445/195200
Title: | On monomial curves obtained by gluing |
Author: | Jafari, Raheleh Zarzuela, Santiago |
Keywords: | Corbes algebraiques Mòduls (Àlgebra) Anells locals Semigrups Algebraic curves Modules (Algebra) Local rings Semigroups |
Issue Date: | 23-Oct-2013 |
Publisher: | Springer Verlag |
Abstract: | 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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s00233-013-9536-1 |
It is part of: | Semigroup Forum, 2013, vol. 88, p. 397-416 |
URI: | http://hdl.handle.net/2445/195200 |
Related resource: | https://doi.org/10.1007/s00233-013-9536-1 |
ISSN: | 0037-1912 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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