Real and complex singularities : XI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de São Paulo, São Carlos, SP Brazil / / Victor Goryunov, Kevin Houston, Roberta Wik-Atique, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• Descrizione fisica: 1 online resource (218 p.)
• Disciplina: 514/.746
• Soggetto topico: Singularities (Mathematics)
• Classificazione: 58Kxx57Rxx57Qxx32Sxx14Pxx37Cxx
• Persona (resp. second.): GoryunovVictor <1955->; HoustonKevin <1968->; Wik-AtiqueRoberta <1964->; MondD (David)
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preface -- David Mond -- Milnor Fibrations and the Concept of -regularity for Analytic Map Germs -- Introduction -- 1. An example: weighted homogeneous singularities -- 2. On the geometry in Milnor's proof of the fibration theorem -- 3. -regularity for real analytic map-germs -- References -- Bi-Lipschitz -triviality and Newton polyhedra, -- 1. Introduction -- 2. Bi-Lipschitz -triviality ...-- 3. Examples -- 4. Bi-Lipschitz _{ }-triviality,... -- 5. Tables of estimates -- References -- Symplectic _{ } Singularities -- 1. Introduction -- 2. The method of algebraic restrictions -- 3. Discrete symplectic invariants. -- 4. Symplectic _{ }-singularities -- References -- Topology of the real Milnor fiber for isolated singularities -- 1. Introduction -- 2. Tools from Morse Theory -- 3. Euler Characteristic for Real Mappings Fibers -- 4. Topological-Geometrical Description - Application to Low Dimensions -- References -- Compact 3-manifolds supporting some A2-actions -- 1. Introduction -- 2. Preliminares -- 3. Semi-global orbit structure in a neighborhood of a circle orbit -- 4. Proof of main Theorem -- References -- Timelike canal hypersurfaces of spacelike submanifolds in a de Sitter space -- 1. Introduction -- 2. Timelike hypersurfaces in a de Sitter space -- 3. Spacelike submanifolds in the de Sitter space -- 4. Timelike canal hypersurfaces -- 5. De Sitter -maps as wavefronts -- 6. Contact with hyperbolic hyperquadrics in the de Sitter space -- 7. Generic properties of spacelike submanifolds -- References -- Residues in K-theory -- 1. Introduction -- 2. Globally defined stable classes of bundles defined only off Σ -- 3. Sequences of globally defined bundles, exact off Σ -- 4. Methods in differential Geometry -- References -- Multicusps -- 1. Introduction -- 2. Proof of Theorem 2 -- References -- Small growth vectors of the compactifications of the contact systems on ^{ }(1,1) -- 1. Goursat distributions and their small growth vectors -- 2. Main theorems -- 3. Proof of Theorem 2 -- 4. Proof of Theorem 3 -- References -- Vassiliev type invariants for generic mappings, revisited -- Introduction -- 1. Mapping space and Discriminant -- 2. Vassiliev complex -- 3. Finite type invariants for generic maps -- 4. Characteristic classes for fiber bundles -- 5. Contact equivalence for mappings -- References -- Sections of Analytic Variety -- 1. Introduction -- 2. Equivalence of Sections -- 3. Finite Determinacy -- 4. Section of the Singularities _{ } -- References -- The Artin-Greenberg function of a plane curve singularity -- 1. Introduction -- 2. Characteristic sequences and semigroup of a reducible polynomial -- The tree of contacts of Abhyankar-Assi -- 3. The Artin-Greenberg function.
• Sommario/riassunto: "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."--P. [4] of cover.
• Titolo autorizzato: Real and complex singularities
• ISBN: 0-8218-8780-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788636803321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 569 . 0271-4132