Vector fields and functions on discriminants of complete intersections and on bifurcation diagrams of projections

The paper studies vector fields that preserve the discriminants of isolated singularities of complete intersections and bifurcation diagrams of projections to the straight line. The results are applied to find stable functions on discriminants of simple complete intersections and normal forms of functions of general position on bifurcation diagrams of projections of low codimension.Translated from Itogi Nauki i Tekhniki, Seriya Sovermennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 33, pp. 31–54, 1988.