Singularities in Geometry, Topology, Foliations and Dynamics: A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014

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José Luis Cisneros-Molina, Dũng Tráng Lê, Mutsuo Oka, Jawad Snoussi
Birkhäuser, Feb 13, 2017 - Mathematics - 231 pages

This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings.

Singularity theory is at the crossroad of various branches of mathematics and science in general. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas.


The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday.

It is intended for researchers and graduate students interested in singularity theory and its impact on other fields.

 

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Contents

Extending the Action of Schottky Groups on the Complex Antide Sitter Space to the Projective Space
1
Puiseux Parametric Equations via the Amoeba of the Discriminant
17
Some Open Questions on Arithmetic Zariski Pairs
31
Logarithmic Vector Fields and the Severi Strata in the Discriminant
55
Classification of Isolated Polar Weighted Homogeneous Singularities
77
Rational and Iterated Maps Degeneracy Loci and the Generalized RiemannHurwitz Formula
105
On Singular Varieties with Smooth Subvarieties
125
On Polars of Plane Branches
135
Singular Intersections of Quadrics I
155
A New Conjecture a New Invariant and a New Nonsplitting Result
171
Lipschitz Geometry Does not Determine Embedded Topological Type
182
Projective Transverse Structures for Some Foliations
197
Chern Classes and Transversality for Singular Spaces
207
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