On the first kind of relative k-jet cohomology of singularities of mapgerms (Q1821400)

In a previous paper [Math. Ann. 262, 255-272 (1983; Zbl 0507.58013)], the author defined two kinds of relative k-jet cohomology and computed them for \(C^{\infty}\)-hypersurfaces with finite multiplicities at singular points. In the present paper the author generalizes the results from the above paper to complete intersections with isolated singularities. To be more exact, he generalizes the computations about the first kind of k-jet cohomology to holomorphic mapgerms, real analytic mapgerms and finitely determined \(C^{\infty}\)-mapgerms on respective manifolds. Many results are also true for nonisolated singularities.