Dicritical foliations and semiroots of plane branches

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URI: https://hdl.handle.net/10902/34026
ISSN: 0723-0869
ISSN: 1878-0792
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Autoría
Corral Pérez, NuriaAutoridad Unican; Hernandes, Marcelo E.; Rodrigues Hernandes, M. E.
Fecha
2024
Derechos
© 2024 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Publicado en
Expositiones Mathematicae, 2024, 42(5), 125591
Editorial
Elsevier
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Palabras clave
Dicritical foliations
Semiroots
Analytic invariants of plane branches
Resumen/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.
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© 2024 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Excepto si se señala otra cosa, la licencia del ítem se describe como © 2024 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).