Absolutely isolated singularities of a differential equation

Absolutely isolated singularities of a differential equation

In this paper we solve the problem of desingularization of an absolutely isolated singularity of a differential equation, including the dicritical case. As an application, we prove the finiteness of the number of dicritical points in the blowing up tree of an absolutely isolated singularity.

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Veröffentlicht in:Compositio mathematica 1997-04, Vol.106 (2), p.235-246
Hauptverfasser: DE SALAS, F. SANCHO, DE SALAS, P. SANCHO
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we solve the problem of desingularization of an absolutely isolated singularity of a differential equation, including the dicritical case. As an application, we prove the finiteness of the number of dicritical points in the blowing up tree of an absolutely isolated singularity.
ISSN:0010-437X
1570-5846
DOI:10.1023/A:1000177422159