RT info:eu-repo/semantics/article
T1 Radial Foliations in Dimension Three
A1 Cano Torres, Felipe
A1 Molina Samper, Beatriz
K1 Geometría algebraica
K1 Análisis matemático
K1 Topología
K1 Foliaciones singulares
K1 Foliaciones radiales
K1 Superficies de Hirzebruch
K1 Reducción de singularidades
K1 Hipersuperficies invariantes
K1 1201.01 Geometría Algebraica
K1 1210 Topología
AB 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.
PB Springer Nature
SN 1575-5460
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/83030
UL https://uvadoc.uva.es/handle/10324/83030
LA eng
NO Qualitative Theory of Dynamical Systems, 2026, vol. 25.
NO Producción Científica
DS UVaDOC
RD 24-feb-2026