14Hxx — 1 articles found.
Morse equi-singular deformation in $\mathbb{C}^2$
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 \(\mathbb{C}\{x,y\}\) (\(=\mathcal{O}_2\)).
Keywords:
AMS Subject Classification:
Curves
14Hxx
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