Remarks on Foliations on CP2 with a Unique Singular Point

This paper is a contribution to the study of foliations on CP2 with a unique singularity. We provide an explicit example in degree 7 of such a foliation, in the non dicritical case, having a divergent separatrix, and subsequently, we study different families of such foliations in low degree.

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Veröffentlicht in:Boletim da Sociedade Brasileira de Matemática 2024-12, Vol.55 (4)
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is a contribution to the study of foliations on CP2 with a unique singularity. We provide an explicit example in degree 7 of such a foliation, in the non dicritical case, having a divergent separatrix, and subsequently, we study different families of such foliations in low degree.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-024-00426-3