PARTIAL PROPERNESS AND THE JACOBIAN CONJECTURE

Authors
CAMPBELL LA
Citation
La. Campbell, PARTIAL PROPERNESS AND THE JACOBIAN CONJECTURE, Applied mathematics letters, 9(2), 1996, pp. 5-10
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
9
Issue
2
Year of publication
1996
Pages
5 - 10
Database
ISI
SICI code
0893-9659(1996)9:2<5:PPATJC>2.0.ZU;2-R
Abstract
A polynomial map of complex n-space to itself is invertible if it is n onsingular and proper on each of a suitable collection of lower dimens ional submanifolds. For n = 2, it suffices to have properness along a single connected component of a fiber of a component map.