THE MONODROMY GROUPS OF ISOLATED SINGULARITIES OF HYPERSURFACES

Abstract

ContentsIntroductionSome definitions § 1. Picard-Lefschetz theory § 2. The monodromy group and variation operator of a singularity § 3. The intersection matrices of specific singularities § 4. Intersection matrices of singularities of functions of two variablesAppendix 1. The connection between the modality of a singularity and the inertia index of its quadratic formAppendix 2. V. I. Arnol'd, A conjecture on the signature of the quadratic form of a quasihomogeneous singularityAppendix 3. A. M. Gabrielov, Monodromy groups and bordering of singularitiesAppendix 4. A. N. Varchenko, The characteristic polynomial of the monodromy operator and the Newton diagram of a singularityReferences