Singularity Theory

Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference

By: Jean-paul Brasselet (Editor), Denis Cheniot (Editor), Nicolas Dutertre (Editor), Claudio Murolo (Editor), Anne Pichon (Editor)

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Hardcover | 9 February 2007

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1084 Pages

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23.5 x 16.51 x 6.35

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The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

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Five courses on singularity theory	p. 1
The Schwartz classes of complex analytic singular varieties	p. 3
Desingularization of ideals and varieties	p. 33
Lectures on topology of complements and fundamental groups	p. 71
Lectures on real stratification theory	p. 139
Lagrangian and Legendrian singularities	p. 157
Applications of singularity theory	p. 187
Singularities of robot manipulators	p. 189
Singularity and stratification theory applied to dynamical systems	p. 219
Differential geometry from the view point of Lagrangian or Legendrian singularity theory	p. 241
Caustics and visualization techniques	p. 277
Singularities and genericity in medical imaging : old and new	p. 285
Geometric contacts and 2-regularity of surfaces in Euclidean space	p. 307
Geometry of Resonance Tongues	p. 327
Generic Singularities of Surfaces	p. 357
Geometry and topology of singularities	p. 377
Hodge-Riemann relations for polytopes : a geometric approach	p. 379
On rational cuspidal plane curves, open surfaces and local singularities	p. 411
A homological approach to singular reduction in deformation quantization	p. 443
Differentiability and composite functions	p. 463
Contact structures and non-isolated singularities	p. 475
On local reduction theorems for singular symplectic forms on a 4-dimensional manifold	p. 487
Devissage de la forme de Seifert Entiere des Germes de Courbe Plane a Deux Branches	p. 503
Chern obstructions for collections of 1-forms on singular varieties	p. 557
The finite generation of the monoid of effective divisor classes on platonic rational surfaces	p. 565
An application of resolution of singularities : computing the topological [zeta]-function of isolated surface singularities in (C[superscript 3],O)	p. 577
Global properties of integrable implicit Hamiltonian systems	p. 593
Motivic vanishing cycles and applications	p. 613
Complements of hypersurfaces and equisingularity	p. 625
A general image computing spectral sequence	p. 651
Generic sections of singularities	p. 677
Morse-Smale-Witten complex for gradient-like vector fields on stratified spaces	p. 683
Some obstructed equisingular familis of curves on surfaces in P[superscript 3]	p. 715
On the Alexander invariants of hypersurface complements	p. 725
The boundary of the Milnor fiber of Hirzebruch surface singularities	p. 745
A survey on stratified transversality	p. 761
Graph 3-manifolds, splice diagrams, singularities	p. 787
Rigid geometry and the monodromy conjecture	p. 819
Zariski pairs on sextics II	p. 837
A survey of characteristic classes of singular spaces	p. 865
Indices of vector fields on singular varieties : an overview	p. 953
Direct connections and Chern character	p. 977
Logarithmic comparison theorem and D-modules : an overview	p. 995
On torsion in homology of singular toric varieties	p. 1011
Centre symmetry sets and other invariants of algebraic sets	p. 1019
Table of Contents provided by Blackwell. All Rights Reserved.

Singularity Theory

Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference

At a Glance

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