Topics on Real and Complex Singularities

Inhaltsverzeichnis

• 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.