Absolutely isolated singularities of a differential equation |
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| Authors: | F SANCHO DE SALAS P SANCHO DE SALAS |
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| Institution: | (1) Department de Matemática Pura y Aplicada, Universidad de Salamanca, Plaza de la Merced 1–4, E-37008 Salamanca, Spain;(2) Department de Matemáticas, Universidad de Extremadura, Avda. de Elvas s/n, Badajoz, Spain |
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| Abstract: | In this paper we solve the problemof desingularization of an absolutely isolatedsingularity of a differential equation, including thedicritical case. As an application, we prove thefiniteness of the number of dicritical points in theblowing up tree of an absolutely isolated singularity. |
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| Keywords: | Isolated singularities vector fields desingularization |
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