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

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  • Formatas: PDF+DRM
  • Serija: Trends in Mathematics
  • Išleidimo metai: 13-Feb-2017
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783319393391
Kitos knygos pagal šią temą:
  • Formatas: PDF+DRM
  • Serija: Trends in Mathematics
  • Išleidimo metai: 13-Feb-2017
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783319393391
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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.

Extending the action of Schottky groups on the complex anti-de Sitter space to the projective space.- Puiseux Parametric Equations via the Amoeba of the Discriminant.- Some open questions on arithmetic Zariski pairs.- Logarithmic vector fields and the Severi strata in the discriminant.- Classification of Isolated Polar Weighted Homogeneous Singularities.- Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula.- On singular varieties with smooth subvarieties.- On Polars of Plane Branches.- Singular Intersections of Quadrics I.- A New Conjecture, a New Invariant, and a New Non-splitting Result.- Lipschitz geometry does not determine embedded topological type.- Projective transverse structures for some foliations.- Chern classes and transversality for singular spaces.
Preface vii
List of Participants
ix
Extending the Action of Schottky Groups on the Complex Anti-de Sitter Space to the Projective Space
1(16)
Vanessa Alderete
Carlos Cabrera
Angel Cano
Mayra Mendez
Puiseux Parametric Equations via the Amoeba of the Discriminant
17(14)
Fuensanta Aroca
Victor Manuel Saavedra
Some Open Questions on Arithmetic Zariski Pairs
31(24)
Enrique Artal Bartolo
Jose Ignacio Cogolludo-Agustin
Logarithmic Vector Fields and the Severi Strata in the Discriminant
55(22)
Paul Cadman
David Mond
Duco van Straten
Classification of Isolated Polar Weighted Homogeneous Singularities
77(28)
Jose Luis Cisneros-Molina
Agustin Romano-Velazquez
Rational and Iterated Maps, Degeneracy Loci, and the Generalized Riemann-Hurwitz Formula
105(20)
James F. Glazebrook
Alberto Verjovsky
On Singular Varieties with Smooth Subvarieties
125(10)
Maria del Rosario Gonzalez-Dorrego
On Polars of Plane Branches
135(20)
A. Hefez
M.E. Hernandes
M.F. Hernandez Iglesias
Singular Intersections of Quadrics I
155(16)
Santiago Lopez de Medrano
A New Conjecture, a New Invariant, and a New Non-splitting Result
171(12)
David B. Massey
Lipschitz Geometry Does Not Determine Embedded Topological Type
183(14)
Walter D. Neumann
Anne Pichon
Projective Transverse Structures for Some Foliations
197(10)
Paulo Sad
Chern Classes and Transversality for Singular Spaces
207
Jorg Schurmann