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DC Field | Value | Language |
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dc.contributor.author | Miró-Roig, Rosa M. (Rosa Maria) | - |
dc.contributor.author | Salat Moltó, Martí | - |
dc.date.accessioned | 2024-07-11T07:37:23Z | - |
dc.date.available | 2024-07-11T07:37:23Z | - |
dc.date.issued | 2022-06-21 | - |
dc.identifier.issn | 1386-923X | - |
dc.identifier.uri | http://hdl.handle.net/2445/214509 | - |
dc.description.abstract | In this paper, we introduce the notion of a Klyachko diagram for a monomial ideal I in a certain multi-graded polynomial ring, namely the Cox ring $R$ of a smooth complete toric variety, with irrelevant maximal ideal B. We present procedures to compute the Klyachko diagram of $I$ from its monomial generators, and to retrieve the $B$-saturation $I^{\text {sat }}$ of $I$ from its Klyachko diagram. We use this description to compute the first local cohomology module $H_B^1(I)$. As an application, we find a formula for the Hilbert function of $I^{\text {sat }}$, and a characterization of monomial ideals with constant Hilbert polynomial, in terms of their Klyachko diagram. | - |
dc.format.extent | 21 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1007/s10468-022-10146-1 | - |
dc.relation.ispartof | Algebras And Representation Theory, 2022, vol. 26, p. 1497-1517 | - |
dc.relation.uri | https://doi.org/10.1007/s10468-022-10146-1 | - |
dc.rights | cc-by (c) Rosa M. Miró-Roig, 2022 | - |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Varietats tòriques | - |
dc.subject.classification | Anells commutatius | - |
dc.subject.classification | Polinomis | - |
dc.subject.other | Toric varieties | - |
dc.subject.other | Commutative rings | - |
dc.subject.other | Polynomials | - |
dc.title | Klyachko diagram of monomial ideals | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 723173 | - |
dc.date.updated | 2024-07-11T07:37:29Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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