Singularities of Mappings / Grundlehren der mathematischen Wissenschaften Bd.357 (PDF)
Part I of the book develops the...
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Part I of the book develops the now classical real C8 and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic.
By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Juan J. Nuño-Ballesteros is Professor at the University of Valencia. His research is in the field of singularities of real and complex mappings and his main contributions to the subject include the topological classification of real analytic map-germs and also the Whitney equisingularity of complex analytic families of map-germs. He has also other important contributions in generic geometry (applications of Singularity Theory to the differential geometry of submanifolds in Euclidean spaces) and about global aspects of singularities of smooth mappings.
- Autoren: David Mond , Juan J. Nuño-Ballesteros
- 2020, 1st ed. 2020, 567 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3030344401
- ISBN-13: 9783030344405
- Erscheinungsdatum: 23.01.2020
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- Dateiformat: PDF
- Größe: 12 MB
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