Corank one mono-germs , n < p, of -codimension one are classified by giving an explicit normal form.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-6,
author = {Kevin Houston},
title = {On the classification of real mono-germs of corank one and codimension one},
journal = {Banach Center Publications},
volume = {65},
year = {2004},
pages = {77-84},
zbl = {1062.58036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-6}
}
Kevin Houston. On the classification of real mono-germs of corank one and codimension one. Banach Center Publications, Tome 65 (2004) pp. 77-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-6/