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Artículo
A vanishing theorem for a class of logarithmic D-modules
dc.creator | Castro Jiménez, Francisco Jesús | es |
dc.creator | Gago Vargas, J. | es |
dc.creator | Hartillo Hermoso, Isabel | es |
dc.creator | Ucha Enríquez, José María | es |
dc.date.accessioned | 2020-02-18T10:34:12Z | |
dc.date.available | 2020-02-18T10:34:12Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Castro Jiménez, F.J., Gago Vargas, J., Hartillo Hermoso, I. y Ucha Enríquez, J.M. (2007). A vanishing theorem for a class of logarithmic D-modules. ArXiv.org, ArXiv:0707.1000 | |
dc.identifier.uri | https://hdl.handle.net/11441/93293 | |
dc.description.abstract | Let OX (resp. DX) be the sheaf of holomorphic functions (resp. the sheaf of linear differential operators with holomorphic coefficients) on X = Cn. Let D X be a locally weakly quasi-homogeneous free divisor defined by a polynomial f. In this paper we prove that, locally, the annihilating ideal of 1/fk over DX is generated by linear differential operators of order 1 (for k big enough). For this purpose we prove a vanishing theorem for the extension groups of a certain logarithmic DX–module with OX. The logarithmic DX–module is naturally associated with D (see Notation 1.1). This result is related to the so called Logarithmic Comparison Theorem. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | ArXiv.org, ArXiv:0707.1000 | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A vanishing theorem for a class of logarithmic D-modules | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Álgebra | |
dc.relation.publisherversion | https://arxiv.org/abs/0707.1000 | es |
idus.format.extent | 13 | es |
dc.journaltitle | ArXiv.org | es |
dc.publication.issue | ArXiv:0707.1000 | es |
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