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Dicritical foliations and semiroots of plane branches

dc.contributor.authorCorral Pérez, Nuria 
dc.contributor.authorHernandes, Marcelo E.
dc.contributor.authorRodrigues Hernandes, M. E.
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-10-01T17:55:51Z
dc.date.available2024-10-01T17:55:51Z
dc.date.issued2024
dc.identifier.issn0723-0869
dc.identifier.issn1878-0792
dc.identifier.otherPID2019-105621GB-I00es_ES
dc.identifier.otherPID2022- 139631NB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/34026
dc.description.abstractIn 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.es_ES
dc.description.sponsorshipThe authors are supported by the Spanish research projects PID2019-105621GB-I00 and PID2022-139631NB-I00 funded by the Agencia Estatal de Investigacion - Ministerio de Ciencia e Innovación, Spain. The second author is also supported by the research project 303638/2020-6 funded by CNPq-Brazil.es_ES
dc.format.extent29 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rights© 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/).es_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceExpositiones Mathematicae, 2024, 42(5), 125591es_ES
dc.subject.otherDicritical foliationses_ES
dc.subject.otherSemirootses_ES
dc.subject.otherAnalytic invariants of plane brancheses_ES
dc.titleDicritical foliations and semiroots of plane brancheses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.exmath.2024.125591es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-139631NB-I00/ES/ANALISIS ASINTOTICO, ALGEBRA Y GEOMETRIA EN FOLIACIONES Y SISTEMAS DINAMICOS/es_ES
dc.identifier.DOI10.1016/j.exmath.2024.125591
dc.type.versionpublishedVersiones_ES


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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/).