Abstract
AbstractIn this paper, we study families of singular surfaces in ℂ3 parametrised by $\mathcal {A}$-finitely determined map germs. We consider the topological triviality and Whitney equisingularity of an unfolding F of a finitely determined map germ f : (ℂ2, 0) → (ℂ3, 0). We investigate the following question: topological triviality implies Whitney equisingularity of the unfolding F? We provide a complete answer to this question, by giving counterexamples showing how the conjecture can be false.
Publisher
Cambridge University Press (CUP)
Reference22 articles.
1. D. Wolfram , G. M. Greuel , G. Pfister and H. Schönemann Singular 4-0-2, a computer algebra system for polynomial computations. http://www.singular.uni-kl.de, (2015).
2. Varietes polaires II Multiplicites polaires, sections planes, et conditions de whitney
3. On the Classification of Germs of Maps from R2
to R3
4. SLICING CORANK 1 MAP GERMS FROM C2 TO C3
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献