Equisingularity in $R^2$ As Morse Stability

Details Equisingularity in $R^2$ As Morse Stability Equisingularity in $R^2$ As Morse Stability

2005-05-18

arxiv.org/abs/math/0505377v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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 $\R_*$?

Affiliated with

Also associated with

No associations

Rating

Equisingularity in $R^2$ As Morse Stability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equisingularity in $R^2$ As Morse Stability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equisingularity in $R^2$ As Morse Stability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710289