Carregant...
Fitxers
Tipus de document
ArticleVersió
Versió acceptadaData de publicació
Tots els drets reservats
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/195200
On monomial curves obtained by gluing
Títol de la revista
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
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.
Matèries (anglès)
Citació
Citació
JAFARI, Raheleh, ZARZUELA, Santiago. On monomial curves obtained by gluing. _Semigroup Forum_. 2013. Vol. 88, núm. 397-416. [consulta: 23 de gener de 2026]. ISSN: 0037-1912. [Disponible a: https://hdl.handle.net/2445/195200]