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http://hdl.handle.net/2445/195200
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DC Field | Value | Language |
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dc.contributor.author | Jafari, Raheleh | - |
dc.contributor.author | Zarzuela, Santiago | - |
dc.date.accessioned | 2023-03-14T07:50:34Z | - |
dc.date.available | 2023-03-14T07:50:34Z | - |
dc.date.issued | 2013-10-23 | - |
dc.identifier.issn | 0037-1912 | - |
dc.identifier.uri | http://hdl.handle.net/2445/195200 | - |
dc.description.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. | - |
dc.format.extent | 20 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s00233-013-9536-1 | - |
dc.relation.ispartof | Semigroup Forum, 2013, vol. 88, p. 397-416 | - |
dc.relation.uri | https://doi.org/10.1007/s00233-013-9536-1 | - |
dc.rights | (c) Springer Verlag, 2013 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Corbes algebraiques | - |
dc.subject.classification | Mòduls (Àlgebra) | - |
dc.subject.classification | Anells locals | - |
dc.subject.classification | Semigrups | - |
dc.subject.other | Algebraic curves | - |
dc.subject.other | Modules (Algebra) | - |
dc.subject.other | Local rings | - |
dc.subject.other | Semigroups | - |
dc.title | On monomial curves obtained by gluing | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 629530 | - |
dc.date.updated | 2023-03-14T07:50:34Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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629530.pdf | 254.4 kB | Adobe PDF | View/Open |
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