Examples of Finitely Determined Map-Germs of Corank 3 Supporting Mond's μ ⩾ τ-Type Conjecture
Date of Original Version
In this paper, we give the first set of examples of finitely determined map-germs of corank 3 from 3-space to 4-space satisfying a conjecture by Mond that states the following. 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 if the map-germ is weighted homogeneous) the rank of the nth homology group of the image of a stable perturbation of the map-germ, provided (n, n + 1) is in the range of Mather's nice dimensions. We describe some invariants of the multiple point spaces of one of our examples.
Sharland, Ayşe. "Examples of Finitely Determined Map-Germs of Corank 3 Supporting Mond's μ ⩾ τ-Type Conjecture." Experimental Mathematics 28, 3 (2019): 257-262. doi:10.1080/10586458.2017.1385036.