mu-constancy does not imply constant bi-Lipschitz type

Details mu-constancy does not imply constant bi-Lipschitz type mu-constancy does not imply constant bi-Lipschitz type

2008-09-04

arxiv.org/abs/0809.0845v1

Mathematics

Algebraic Geometry

8 pages, 1 figure

Scientific paper

We show that a family of isolated complex hypersurface singularities with constant Milnor number may fail, in the strongest sense, to have constant bi-Lipschitz type. Our example is the Briac con--Speder family $X_t:=\{(x,y,z)\in\C^3 | x^5+z^{15}+y^7z+txy^6=0 \}$ of normal complex surface germs; we show the germ $(X_0, 0)$ is not bi-Lipschitz homeomorphic with respect to the inner metric to the germ $(X_t,0)$ for $t\ne 0$.

Affiliated with

Also associated with

No associations

Rating

mu-constancy does not imply constant bi-Lipschitz type 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 mu-constancy does not imply constant bi-Lipschitz type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and mu-constancy does not imply constant bi-Lipschitz type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142150