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Volume 10: The 12th International Workshop on Real and Complex Singularities, 22-27th July, 2012, Celebrating the 60th birthday of Prof. Shyuichi Izumiya, ICMC-USP, São Carlos, Brazil |
Contents
| Preface | i |
| Editors: Osamu Saeki, V. H. Jorge Pérez, Takashi Nishimura, and R. Araújo dos Santos | |
| Geometry and Singularities of the Prony mapping | 1 |
| Dmitry Batenkov and Yosef Yomdin | |
| Naive motivic Donaldson--Thomas type Hirzebruch classes and some problems | 26 |
| Vittoria Bussi and Shoji Yokura | |
| On regularity conditions at infinity | 54 |
| L. R. G. Dias | |
| Singularities of affine equidistants: projections and contacts | 67 |
| W. Domitrz, P. de M. Rios, and M. A. S. Ruas | |
| Some notes on the Euler obstruction of a function | 82 |
| Nicolas Dutertre and Nivaldo G. Grulha Jr. | |
| Evolutes of fronts in the Euclidean plane | 92 |
| T. Fukunaga and M. Takahashi | |
| The genericity of the infinitesimal Lipschitz condition for hypersurfaces | 108 |
| Terence Gaffney | |
| Axiumbilic Singular Points on Surfaces Immersed in R^4 and their Generic Bifurcations | 124 |
| R. Garcia, J. Sotomayor, and F. Spindola | |
| On the Euler characteristic of real Milnor fibres | 147 |
| Helmut A. Hamm | |
| Lightlike hypersurfaces along spacelike submanifolds in de Sitter space | 157 |
| Shyuichi Izumiya and Takami Sato | |
| Links of singularities up to regular homotopy | 174 |
| A. Katanaga, A. Némethi, and A. Szűcs | |
| Periodic solutions of discontinuous second order differential systems | 183 |
| Jaume Llibre and Marco Antonio Teixeira | |
| Abelian singularities of holomorphic Lie-foliations | 191 |
| Albetã Mafra and Bruno Scárdua | |
| Some remarks about the topology of corank 2 map germs from R^2 to R^2 | 200 |
| J.A. Moya-Pérez and J.J. Nuño-Ballesteros | |
| Lipschitz geometry of complex curves | 225 |
| Walter D Neumann and Anne Pichon | |
| The right classification of univariate power series in positive characteristic | 235 |
| Nguyen Hong Duc | |
| The Geometry of Double Fold Maps | 250 |
| G. Peñafort-Sanchis | |
| Koenderink type theorems for fronts | 264 |
| Kentaro Saji | |
| Classifications of completely integrable implicit second order ordinary differential equations | 271 |
| Masatomo Takahashi | |
| Lips and swallow-tails of singularities of product maps | 286 |
| Kazuto Takao | |