Combinatorial Models in the Topological Classification of Singularities of Mappings
Pages 3-49
Title: Singularities and Foliations. Geometry, Topology and Applications : BMMS 2/NBMS 3, Salvador, Brazil, 2015 | Author(s): Raimundo Nonato Araújo dos Santos, Aurélio Menegon Neto, David Mond, Marcelo J. Saia, Jawad Snoussi | Publisher: Springer | Year: 2018 | Language: English | Pages : 553 | ISBN: 9783319736396, 3319736396 | Size: 9 MB | Extension: pdf
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.
Combinatorial Models in the Topological Classification of Singularities of Mappings
Pages 3-49
Topology of Real Singularities
Pages 51-88
Equisingularity and the Theory of Integral Closure
Pages 89-131
A Brief Survey on Singularities of Geodesic Flows in Smooth Signature Changing Metrics on 2-Surfaces
Pages 135-155
Orbital Formal Rigidity for Germs of Holomorphic and Real Analytic Vector Fields
Pages 157-180
On Singular Holomorphic Foliations with Projective Transverse Structure
Pages 181-228
Disentanglements of Corank 2 Map-Germs: Two Examples
Pages 229-258
Singular Fibers of Stable Maps of Manifold Pairs and Their Applications
Pages 259-294
A Global View on Generic Geometry
Pages 295-325
Equisingularity
Pages 327-345
On the Factorization of the Polar of a Plane Branch
Pages 347-362
Local Zeta Functions for Rational Functions and Newton Polyhedra
Pages 363-385
Symbolic Powers of Ideals
Pages 387-432
Some Open Problems in Complex Singularities
Pages 433-456
A Comprehensive Approach to the Moduli Space of Quasi-homogeneous Singularities
Pages 459-487
On the Roots of an Extended Lens Equation and an Application
Pages 489-511
A Lefschetz Coincidence Theorem for Singular Varieties
Pages 513-535
Preservation of Immersed or Injective Properties by Composing Generic Generalized Distance-Squared Mappings
Pages 537-547
Arc Criterion of Normal Embedding
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