Dimca | Topics on Real and Complex Singularities | Buch | 978-3-528-08999-3 | sack.de

Buch, Deutsch, 242 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 406 g

Reihe: Advanced Lectures in Mathematics

Dimca

Topics on Real and Complex Singularities

An Introduction
1987
ISBN: 978-3-528-08999-3
Verlag: Vieweg+Teubner Verlag

An Introduction

Buch, Deutsch, 242 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 406 g

Reihe: Advanced Lectures in Mathematics

ISBN: 978-3-528-08999-3
Verlag: Vieweg+Teubner Verlag


The body of mathematics developed in the last forty years or so which can be put under the heading Singularity Theory is quite large. And the excellent introductions to this vast sub­ ject which are already available (for instance [AGVJ, [BGJ, [GiJ, [GGJ, [LmJ, [Mr], [WsJ or the more advanced [Ln]) cover necessarily only apart of even the most basic topics. The aim of the present book is to introduce the reader to a few important topics from ZoaaZ Singularity Theory. Some of these topics have already been treated in other introductory books (e.g. right and contact finite determinacy of function germs) while others have been considered only in papers (e.g. Mather's Lemma, classification of simple O-dimensional complete intersection singularities, singularities of hyperplane sections and of dual mappings of projective hypersurfaces). Even in the first case, we feel that our treatment is different from the introductions mentioned above - the general reason being that we give special attention to the aompZex anaZytia situation and to the connections with AZgebraia Geometry. We offer now a detailed description of the contents, pOint­ ing out special aspects and new material (i.e. previously un­ published, though for the most part surely known to the~ts!). Chapter 1 is a short introduction for the beginner. We recall here two basic results (the Submersion Theorem and Morse Lemma) and make a few comments on what is meant by the local behaviour of a function or of a plane algebraic curve.

Dimca Topics on Real and Complex Singularities jetzt bestellen!

Zielgruppe


Research


Autoren/Hrsg.


Weitere Infos & Material


1: Two Classical Examples: Submersion Theorem and Morse Lemma.- 2: Germs and Jets.- 3: Equivalence Relations on Germs and Jets.- 4: Tangent Spaces to Orbits.- 5: Basic Classification Examples in Linear Algebra and Algebraic Geometry.- 6: Finite Determinacy of Map Germs.- 7: Weighted Homogeneous Singularities.- 8: Classification of Simple Singularities of Functions.- 9: Classification of Simple O-Dimensional Complete Intersections.- 10: Curve and Surface Singularities.- 11: Dual Mappings and Contact Tangency Classes for Projective Hypersurfaces.- Appendix: Two Recent Research Topics.- References.- List of Notations.



Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.