Equisingularity in $R^2$ As Morse Stability
| dc.creator | Kuo, Tzee-Char | |
| dc.creator | Paunescu, Laurentiu | |
| dc.date | 2005-05-18 | |
| dc.date.accessioned | 2026-07-07T05:19:59Z | |
| dc.date.available | 2026-07-07T05:19:59Z | |
| dc.description | Two seemingly unrelated problems are intimately connected. The first is the equsingularity problem in $\R^2$: For an analytic family $f_t:(\R^2,0)\rar (\R,0)$, when should it be called an ``equisingular deformation"? This amounts to finding a suitable trivialization condition (as strong as possible) and, of course, a criterion. The second is on the Morse stability. We define $\R_*$, which is $\R$ "enriched" with a class of infinitesimals. How to generalize the Morse Stability Theorem to polynomials over $\R_*$? | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505377 | |
| dc.identifier | http://arxiv.org/abs/math/0505377 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75229 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14P15 | |
| dc.title | Equisingularity in $R^2$ As Morse Stability | |
| dc.type | text |