LEADER 05914nam 2200637 450 001 9910480157803321 005 20170821170536.0 010 $a0-8218-8780-7 035 $a(CKB)3240000000070092 035 $a(EBL)3113161 035 $a(SSID)ssj0000667801 035 $a(PQKBManifestationID)11955935 035 $a(PQKBTitleCode)TC0000667801 035 $a(PQKBWorkID)10685005 035 $a(PQKB)10355981 035 $a(MiAaPQ)EBC3113161 035 $a(PPN)197102123 035 $a(EXLCZ)993240000000070092 100 $a20120124h20122012 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aReal and complex singularities $eXI International Workshop on Real and Complex Singularities, July 26-30, 2010, Universidade de Sa?o Paulo, Sa?o Carlos, SP Brazil /$fVictor Goryunov, Kevin Houston, Roberta Wik-Atique, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2012] 210 4$dİ2012 215 $a1 online resource (218 p.) 225 1 $aContemporary mathematics ;$vvolume 569 300 $aDescription based upon print version of record. 311 $a0-8218-5359-7 320 $aIncludes bibliographical references and index. 327 $a""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 Milnora???s proof of the fibration theorem""; ""3. -regularity for real analytic map-germs""; ""References""; ""Bi-Lipschitz -triviality and Newton polyhedra, =a???, , , a???_{ }, _{ }, _{ }""; ""1. Introduction""; ""2. Bi-Lipschitz -triviality, =a???, or ""; ""3. Examples""; ""4. Bi-Lipschitz _{ }-triviality, =a???, or ""; ""5. Tables of estimates"" 327 $a""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 a???A?²-actions""; ""1. Introduction""; ""2. Preliminares"" 327 $a""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"" 327 $a""2. Globally defined stable classes of bundles defined only off I?£""""3. Sequences of globally defined bundles, exact off I?£""; ""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"" 327 $a""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"" 327 $a""3. The Artin-Greenberg function"" 330 $a"This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26-30, 2010, in Sa?o Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal."--P. [4] of cover. 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 569. 606 $aSingularities (Mathematics)$vCongresses 608 $aElectronic books. 615 0$aSingularities (Mathematics) 676 $a514/.746 702 $aGoryunov$b Victor$f1955- 702 $aHouston$b Kevin$f1968- 702 $aWik-Atique$b Roberta$f1964- 702 $aMond$b D$g(David), 712 12$aInternational Workshop on Real and Complex Singularities 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480157803321 996 $aReal and complex singularities$9718578 997 $aUNINA