Examples of finitely determined map-germs of corank 2 from \(n\)-space to \((n + 1)\)-space
The Mond conjecture states that the number of parameters needed for a miniversal unfolding of a finitely determined map-germ from \(n\)-space to \((n+1)\)-space is less than or equal to the rank of the \(n^{th}\) homology group of the image of a stable perturbation of the map-germ. The author gives examples of finitely determined map-germs of corank \(2\) from \(3\)-space to \(4\)-space satisfying the conjecture. She introduces a new type of operation to generate series of finitely determined map-germs in dimensions \((n, n+1)\) from a given one in dimensions \((n-1, n)\). She presents more examples in dimensions \((4,5)\) and \((5, 6)\) based on her construction, and verifies the conjecture for them.
scientific article; zbMATH DE number 6327996