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dc.contributor.authorMolina Samper, Beatriz 
dc.contributor.authorPalma Márquez, Jesús
dc.contributor.authorSanz Sánchez, Fernando
dc.date.accessioned2024-06-11T21:37:06Z
dc.date.available2024-06-11T21:37:06Z
dc.date.issued2024
dc.identifier.citationRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Seria A Matemáticas. RACSAM. Vol. 118, n. 4. p. 1-28es
dc.identifier.issn1578-7303es
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/68081
dc.description.abstractGeneralized analytic functions are naturally defined in manifolds with boundary and are built from sums of convergent real power series with non-negative real exponents. In this paper we deal with the problem of reduction of singularities of these functions.Namely, we prove that a germ of generalized analytic function can be transformed by a finite sequence of blowing-ups into a function which is locally of monomial type with respect to the coordinates defining the boundary of the manifold where it is defined.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.subject.classificationBlowing-up morphism · Reduction of singularities · Generalized power series · Principialization of idealses
dc.titleStratified reduction of singularities of generalized analytic functionses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doihttps://doi.org/10.1007/s13398-023-01486-8es
dc.peerreviewedSIes
dc.description.projectFirst and third authors are partially supported by the Project “Métodos asintóticos, algebraicos y geométricos en foliaciones singulares y sistemas dinámicos” (Ref.: PID2019-105621GB-100) of the Agencia Estatal de Investigación in Spain.es
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones


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