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Dos Santos R.N.A., Neto A.M., Mond D., Saia M.J., Snoussi J. (Eds.) Singularities and Foliations. Geometry, Topology and Applications: BMMS 2/NBMS 3, Salvador, Brazil, 2015

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Dos Santos R.N.A., Neto A.M., Mond D., Saia M.J., Snoussi J. (Eds.) Singularities and Foliations. Geometry, Topology and Applications: BMMS 2/NBMS 3, Salvador, Brazil, 2015
Springer, 2018. — 552 p. — (Springer Proceedings in Mathematics & Statistics 222). — ISBN 978-3-319-73638-9.
This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.
Contents
Lecture Notes: Geometry, Topology, and Algebraic Aspects of Singularities
Combinatorial Models in the Topological Classification of Singularities of Mappings
Topology of Real Singularities
Equisingularity and the Theory of Integral Closure
Surveys Papers on Advances in Foliations and Singularity Theory: Topology Geometry and Applications
A Brief Survey on Singularities of Geodesic Flows in Smooth Signature Changing Metrics on 2-Surfaces
Orbital Formal Rigidity for Germs of Holomorphic and Real Analytic Vector Fields
On Singular Holomorphic Foliations with Projective Transverse Structure
Disentanglements of Corank 2 Map-Germs: Two Examples
Singular Fibers of Stable Maps of Manifold Pairs and Their Applications
A Global View on Generic Geometry
Equisingularity
On the Factorization of the Polar of a Plane Branch
Local Zeta Functions for Rational Functions and Newton Polyhedra
Symbolic Powers of Ideals
Some Open Problems in Complex Singularities
Selected Papers in Foliations and Singularity Theory
A Comprehensive Approach to the Moduli Space of Quasi-homogeneous Singularities
On the Roots of an Extended Lens Equation and an Application
A Lefschetz Coincidence Theorem for Singular Varieties
Preservation of Immersed or Injective Properties by Composing Generic Generalized Distance-Squared Mappings
Arc Criterion of Normal Embedding
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