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Book DetailsContemporary MathematicsVolume: 569; 2012; 202 ppMSC: Primary 58; 57; 32; 14; 37
This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26–30, 2010, in São Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal.
ReadershipGraduate students and research mathematicians interested in singularities in geometry and topology.
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Table of Contents
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Articles
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José Luis Cisneros-Molina, José Seade and Jawad Snoussi — Milnor Fibrations and the Concept of $d$-regularity for Analytic Map Germs
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J. C. F. Costa, M. J. Saia and C. H. Soares Júnior — Bi-Lipschitz $\mathcal {G}$-triviality and Newton polyhedra, $\mathcal {G} = \mathcal {R}$, $\mathcal C$, $\mathcal K$, $\mathcal {R}_V$, $\mathcal {C}_V$, $\mathcal {K}_V$
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Wojciech Domitrz and Żaneta Trȩbska — Symplectic $S_{\mu }$ Singularities
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R. Araújo dos Santos, D. Dreibelbis and N. Dutertre — Topology of the real Milnor fiber for isolated singularities
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C. Maquera and W. T. Huaraca — Compact 3-manifolds supporting some $\mathbb {R}^2$-actions
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Masaki Kasedou — Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space
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Daniel Lehmann — Residues in K-theory
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Yusuke Mizota and Takashi Nishimura — Multicusps
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Piotr Mormul — Small growth vectors of the compactifications of the contact systems on $J^{\,r}(1,1)$
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Toru Ohmoto — Vassiliev type invariants for generic mappings, revisited
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B. Oréfice and J. N. Tomazella — Sections of Analytic Variety
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S. Saleh — The Artin-Greenberg function of a plane curve singularity
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Mamuka Shubladze — Singularities with critical locus a complete intersection and transversal type $A_1$
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26–30, 2010, in São Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal.
Graduate students and research mathematicians interested in singularities in geometry and topology.
-
Articles
-
José Luis Cisneros-Molina, José Seade and Jawad Snoussi — Milnor Fibrations and the Concept of $d$-regularity for Analytic Map Germs
-
J. C. F. Costa, M. J. Saia and C. H. Soares Júnior — Bi-Lipschitz $\mathcal {G}$-triviality and Newton polyhedra, $\mathcal {G} = \mathcal {R}$, $\mathcal C$, $\mathcal K$, $\mathcal {R}_V$, $\mathcal {C}_V$, $\mathcal {K}_V$
-
Wojciech Domitrz and Żaneta Trȩbska — Symplectic $S_{\mu }$ Singularities
-
R. Araújo dos Santos, D. Dreibelbis and N. Dutertre — Topology of the real Milnor fiber for isolated singularities
-
C. Maquera and W. T. Huaraca — Compact 3-manifolds supporting some $\mathbb {R}^2$-actions
-
Masaki Kasedou — Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space
-
Daniel Lehmann — Residues in K-theory
-
Yusuke Mizota and Takashi Nishimura — Multicusps
-
Piotr Mormul — Small growth vectors of the compactifications of the contact systems on $J^{\,r}(1,1)$
-
Toru Ohmoto — Vassiliev type invariants for generic mappings, revisited
-
B. Oréfice and J. N. Tomazella — Sections of Analytic Variety
-
S. Saleh — The Artin-Greenberg function of a plane curve singularity
-
Mamuka Shubladze — Singularities with critical locus a complete intersection and transversal type $A_1$
