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Abstract: In this work we describe dicritical foliations in (C2, 0) at a triple point of the resolution dual graph of an analytic plane branch C using its semiroots. In particular, we obtain a constructive method to present a one-parameter family Cu of separatrices for such foliations. As a by-product we relate the contact order between a special member of Cu and C with analytic discrete invariants of plane branches.
Fuente: Expositiones Mathematicae, 2024, 42(5), 125591
Publisher: Elsevier
Year of publication: 2024
No. of pages: 29
Publication type: Article
DOI: 10.1016/j.exmath.2024.125591
ISSN: 0723-0869,1878-0792
Spanish project: PID2019-105621GB-I00
Publication Url: https://doi.org/10.1016/j.exmath.2024.125591
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NURIA CORRAL PEREZ
HERNANDES, MARCELO E.
RODRIGUES HERNANDES, M. E.
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