A+ CATEGORY SCIENTIFIC UNIT

The Milnor number of functions on singular hypersurfaces

Volume 33 / 1996

Mariusz Zając Banach Center Publications 33 (1996), 459-463 DOI: 10.4064/-33-1-459-463

Abstract

The behaviour of a holomorphic map germ at a critical point has always been an important part of the singularity theory. It is generally known (cf. [5]) that we can associate an integer invariant - called the multiplicity - to each isolated critical point of a holomorphic function of many variables. Several years later it was noticed that similar invariants exist for function germs defined on isolated hypersurface singularities (see [1]). The present paper aims to show a simple approach to critical points of maps defined on the $A_k$-type singular hypersurfaces. After some changes it can probably be adopted to other isolated hypersurface singularities.

Authors

  • Mariusz Zając

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