C. R. Math. Rep. Acad. Sci. Canada Vol. 32 (4) 2010, pp. 120–126
December 30, 2010
Tzee-Char Kuo, School of Mathematics, University of Sydney, Sydney, NSW, 2006 Austrial; e-mail: tck@maths.usyd.edu.au
Laurentiu Paunescu, School of Mathematics, University of Sydney, Sydney, NSW, 2006 Austrial; e-mail: laurent@maths.usyd.edu.au
Abstract/Résumé:
The enriched complex line \(\mathbb{C}_*\) is \(\mathbb{C}\) plus a set of infinitesimals. The Morse stability notion is used for an equi-singular deformation theorem in \(\mathbb{C}\{x,y\}\) (\(=\mathcal{O}_2\)).
On appelle la droite complexe enrichie \(C_*\), la réunion de la droite complexe \(\mathbb{C}_*\) avec un ensemble des infinitésimaux. La notion de stabilité de Morse est appliquée au théorème de déformation equisingulière dans \(\mathbb{C}\{x,y\}\) (\(=\mathcal{O}_2\)).
AMS Subject Classification: Curves 14Hxx
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