Topology of hypersurface singularities

Abstract

Kähler's paper "Über die Verzweigung einer algebraischen Funktion zweier Veränderlichen in der Umgebung einer singulären Stelle" offered a more perceptual view of the link of a complex plane curve singularity than that provided shortly before by Brauner. Kähler's innovation of using a "square sphere" became standard in the toolkit of later researchers on singularities. We describe his contribution and survey developments since then, including a brief discussion of the topology of isolated hypersurface singularities in higher dimension.

This is an article in the 2003 de Gruyter volume "Kähler, Erich: Mathematische Werke/Mathematical works" (MathSci: MR2229234). It was not reviewed individually, so placed on arXiv to give it visibility