Handbook of Geometry and Topology of Singularities V: Foliations

Felipe Cano Torres (PhD Universidad de Valladolid, Spain, 1983) is a researcher at Universidad de Valladolid. His research is on holomorphic foliations, particularly on reduction of singularities and applications to dynamical systems. Director of research of several international networks with European fundings. Co-founder and current subdirector of the CTRI, a center in Tordesillas, Spain, focusing on the relations between the University of Valladolid and Iberoamerica. José Luis Cisneros-Molina (PhD, University of Warwick 1999) is a researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research interests are in Algebraic and Differential Topology, Differential Geometry and Singularity Theory, with a particular focus on generalizations of Milnor Fibrations for complex and real analytic maps.Lê Dũng Tráng (PhD, University of Paris 1969) is an Emeritus Professor at Aix-Marseille University. Previously he was Professor at the Universities of Paris VII (1975-1999) and Marseille, and was head of Mathematics at the ICTP at Trieste. One of the founders of modern Singularity Theory, he has made numerous contributions to morsification, the topology of complex singularities, polar varieties, and carousels, among other topics.José Seade (DPhil, University of Oxford 1980) is a researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research is in the theory of indices of vector fields and Chern classes for singular varieties, with applications to foliations, and Milnor’s fibration theorem for analytic maps. He was awarded the 2021 Solomon Lefschetz Medal by the Mathematical Council of the Americas. He is currently President of the Mexican Academy of Sciences.

• 1 Bruno Scárdua, Holomorphic foliations: singularities and local geometric aspects.- 2 Yu. Ilyashenko, Persistence, uniformizanion and holonomy.- 3 Laura Ortiz-Bobadilla, Ernesto Rosales-González and Sergei Voronin, Holomorphic foliations and vector fields with degenerated singularity in (C2, 0).- 4 David Marín, Jean-Francois Mattei and Eliane Salem, Topology of singular foliation germs in C2.- 5 Nuria Corral, Jacobian and polar curves of singular foliations.- 6 Dmitry Novikov and Sergei Yakovenko, Rolle models in the Real and Complex world.- 7 Fernando Sanz Sánchez, Half a century with the problem of the gradient of an analytic function.- 8 Jose Manuel Aroca, Newton Polygon.- 9 Jorge Vitório Pereira, Closed meromorphic 1-forms.