eBook ISBN:  9780821881385 
Product Code:  CONM/459.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881385 
Product Code:  CONM/459.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 459; 2008; 261 ppMSC: Primary 32; 53; 34; 14
This book offers a selection of papers based on talks presented at the Ninth International Workshop on Real and Complex Singularities, a series of biennial workshops organized by the Singularity Theory group at São Carlos, S.P., Brazil. The papers deal with all the different topics in singularity theory and its applications, from pure singularity theory related to commutative algebra and algebraic geometry to those topics associated with various aspects of geometry to homotopy theory.
Among the topics on pure singularity theory discussed are invariants of singularities, integral closure and equisingularity, classification theory, contact structures and vector fields, and Thom polynomials. Geometric aspects deal with relations of singularity theory with topology, differential geometry and physics. Here topics discussed include the index of quadratic differential forms, obstructions in fundamental groups of plane curve complements, conjugate vectors of immersed manifolds, exotic moduli of Goursat distributions in codimension three, cobordisms of fold maps, etc. The book concludes with notes from the course on the residue theoretical approach to intersection theory.
ReadershipGraduate students and research mathematicians interested in singularity theory and applications to dynamical systems, physics, and geometry.

Table of Contents

Articles

Daniel Dreibelbis — Conjugate vectors of immersed manifolds [ MR 2444389 ]

Terence Gaffney — Invariants of $D(q,p)$ singularities [ MR 2444390 ]

Terence Gaffney — Nilpotents, integral closure and equisingularity conditions [ MR 2444391 ]

Kevin Houston — Singularities in generic oneparameter complex analytic families of maps [ MR 2444392 ]

Goo Ishikawa — Global classification of curves on the symplectic plane [ MR 2444393 ]

V. H. Jorge Pérez — Counting isolated singularities of a stable perturbation of a finitely $\scr A$determined mapgerm $(\Bbb C^n,0)\to (\Bbb C^p,0)$, with $n<p$ [ MR 2444394 ]

V. H. Jorge Pérez and A. J. Miranda — Milnor numbers and equisingularity of map germs from $\Bbb C^{n+3}$ to $\Bbb C^3$ [ MR 2444395 ]

Boldizsár Kalmár — Cobordism invariants of fold maps [ MR 2444396 ]

Constance Leidy and Laurentiu Maxim — Obstructions on fundamental groups of plane curve complements [ MR 2444397 ]

Piotr Mormul — Exotic moduli of Goursat distributions exist already in codimension three [ MR 2444398 ]

A. A. du Plessis and C. T. C. Wall — Hypersurfaces with isolated singularities with symmetry [ MR 2444399 ]

Piotr Pragacz — Thom polynomials and Schur functions: towards the singularities $A_i()$ [ MR 2444400 ]

Lizandro Sanchez Challapa — Index of quadratic differential forms [ MR 2444401 ]

José Seade — Remarks on contact structures and vector fields on isolated complete intersection singularities [ MR 2444402 ]

Tatsuo Suwa — Residue theoretical approach to intersection theory [ MR 2444403 ]


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This book offers a selection of papers based on talks presented at the Ninth International Workshop on Real and Complex Singularities, a series of biennial workshops organized by the Singularity Theory group at São Carlos, S.P., Brazil. The papers deal with all the different topics in singularity theory and its applications, from pure singularity theory related to commutative algebra and algebraic geometry to those topics associated with various aspects of geometry to homotopy theory.
Among the topics on pure singularity theory discussed are invariants of singularities, integral closure and equisingularity, classification theory, contact structures and vector fields, and Thom polynomials. Geometric aspects deal with relations of singularity theory with topology, differential geometry and physics. Here topics discussed include the index of quadratic differential forms, obstructions in fundamental groups of plane curve complements, conjugate vectors of immersed manifolds, exotic moduli of Goursat distributions in codimension three, cobordisms of fold maps, etc. The book concludes with notes from the course on the residue theoretical approach to intersection theory.
Graduate students and research mathematicians interested in singularity theory and applications to dynamical systems, physics, and geometry.

Articles

Daniel Dreibelbis — Conjugate vectors of immersed manifolds [ MR 2444389 ]

Terence Gaffney — Invariants of $D(q,p)$ singularities [ MR 2444390 ]

Terence Gaffney — Nilpotents, integral closure and equisingularity conditions [ MR 2444391 ]

Kevin Houston — Singularities in generic oneparameter complex analytic families of maps [ MR 2444392 ]

Goo Ishikawa — Global classification of curves on the symplectic plane [ MR 2444393 ]

V. H. Jorge Pérez — Counting isolated singularities of a stable perturbation of a finitely $\scr A$determined mapgerm $(\Bbb C^n,0)\to (\Bbb C^p,0)$, with $n<p$ [ MR 2444394 ]

V. H. Jorge Pérez and A. J. Miranda — Milnor numbers and equisingularity of map germs from $\Bbb C^{n+3}$ to $\Bbb C^3$ [ MR 2444395 ]

Boldizsár Kalmár — Cobordism invariants of fold maps [ MR 2444396 ]

Constance Leidy and Laurentiu Maxim — Obstructions on fundamental groups of plane curve complements [ MR 2444397 ]

Piotr Mormul — Exotic moduli of Goursat distributions exist already in codimension three [ MR 2444398 ]

A. A. du Plessis and C. T. C. Wall — Hypersurfaces with isolated singularities with symmetry [ MR 2444399 ]

Piotr Pragacz — Thom polynomials and Schur functions: towards the singularities $A_i()$ [ MR 2444400 ]

Lizandro Sanchez Challapa — Index of quadratic differential forms [ MR 2444401 ]

José Seade — Remarks on contact structures and vector fields on isolated complete intersection singularities [ MR 2444402 ]

Tatsuo Suwa — Residue theoretical approach to intersection theory [ MR 2444403 ]