分野別セミナー

Arnol'd introduced the notion of lowerable and liftable vector fields for a mapping in 1976. These vector fields have various interesting applications; in particular, they have applications to classification problems of singularities. However, no general theory has been constructed as far as the speaker knows, and very little is known about the modules of lowerable and liftable vector fields.

In this talk, we prove that the module of lowerable vector fields is always finitely generated for a finitely L-determined multigerm. We also present many examples of finitely L-determined multigerms by using some linear map.