Stratified reduction of singularities of generalized analytic functions
Generalized 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 generalize...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Valladolid |
| Repositorio: | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| OAI Identifier: | oai:uvadoc.uva.es:10324/68081 |
| Acceso en línea: | https://doi.org/10.1007/s13398-023-01486-8 https://uvadoc.uva.es/handle/10324/68081 |
| Access Level: | acceso abierto |
| Palabra clave: | Blowing-up morphism · Reduction of singularities · Generalized power series · Principialization of ideals |
| Sumario: | Generalized 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. |
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