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Título
Radial Foliations in Dimension Three
Año del Documento
2026
Editorial
Springer Nature
Descripción
Producción Científica
Documento Fuente
Qualitative Theory of Dynamical Systems, 2026, vol. 25.
Abstract
Radial germs of holomorphic foliations in dimension two have a characteristic property: they are the only singular foliations whose reduction of singularities has no singular points. We also know that they are desingularized by a single dicritical blowing-up. Let us say that a foliated space ((C3, 0), 𝐸, 𝓕) is almost radial when it has a reduction of singularities without singular points; it will be “radial” under a certain additional condition on the morphism of reduction of singularities. We show that the radial condition corresponds to the “open book” situation. We end the paper with a discussion on the general almost radial case.
Materias (normalizadas)
Geometría algebraica
Análisis matemático
Topología
Materias Unesco
1201.01 Geometría Algebraica
1210 Topología
Palabras Clave
Foliaciones singulares
Foliaciones radiales
Superficies de Hirzebruch
Reducción de singularidades
Hipersuperficies invariantes
ISSN
1575-5460
Revisión por pares
SI
Patrocinador
Ministerio de Ciencia e Innovación (MCIN) / Agencia Estatal de Investigación (AEI): PID2022-139631NB-100 (MCIN/AEI/10.13039/501100011033/ FEDER, UE)
Open access funding provided by FEDER European Funds and the Junta de Castilla y León under the Research and Innovation Strategy for Smart Specialization (RIS3) of Castilla y León 2021-2027.
Open access funding provided by FEDER European Funds and the Junta de Castilla y León under the Research and Innovation Strategy for Smart Specialization (RIS3) of Castilla y León 2021-2027.
Version del Editor
Propietario de los Derechos
© 2026 The Author(s)
Idioma
eng
Tipo de versión
info:eu-repo/semantics/publishedVersion
Derechos
openAccess
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