A tangential family is a 1-parameter system of regular curves emanating tangentially from another regular curve. We classify simple tangential family germs up to A-equivalence. We describe perestroikas of envelopes of simple tangential family germs of small codimension under small deformations of the germ among tangential families. © 2005 Elsevier SAS. All rights reserved.
Capitanio, G. (2006). Simple tangential family germs and perestroikas of their envelopes. Bulletin Des Sciences Mathematiques, 130(1), 1–14. https://doi.org/10.1016/j.bulsci.2005.03.002