Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On isolated singularities of surfaces which do not affect the conditions of adjunction (Part I.)

Patrick Du Vala1

a1 Trinity College

By an isolated singularity of an algebraic surface in [r] (i.e. space of r dimensions) I shall mean one which not merely is not upon any branch of a multiple curve of the surface, but has also the property that when the surface is projected into [3] from a general space [r − 4] the singular point remains in isolation, i.e. no branch of the double curve created by the projection will of necessity pass through it.

(Received June 06 1934)

(Accepted October 29 1934)