Mathematics > Algebraic Geometry
[Submitted on 11 Jun 2018]
Title:Classification of Lipschitz simple function germs
View PDFAbstract:It is known that the bi-Lipschitz right classification of function germs admit moduli. In this article we introduce a notion called the Lipschitz simple function germs and present a full classification in the complex case. A surprising consequence of our result is that a function germ is Lipschitz modal if and only if it deforms to the smooth unimodal family of singularities called $J_{10}$ in Arnold's list.
Submission history
From: Nhan Nguyen Xuan Viet [view email][v1] Mon, 11 Jun 2018 03:39:52 UTC (28 KB)
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