6 citations · 33 across the 18 of their papers we have counts for
4 papers · 1 filter
Collapsing topology of isolated singularities
Lev Birbrair, Alexandre Fernandes, Vincent Grandjean
We proof here the existence of a topological thick and thin decomposition of any closed definable thick isolated singularity germ in the spirit of the recently discovered metric th…
Choking horns in Lipschitz Geometry of Complex Algebraic Varieties
Lev Birbrair, Alexandre Fernandes, Vincent Grandjean +1
We study the Lipschitz Geometry of Complex Algebraic Singularities. For this purpose we introduce the notion of choking horns. A Choking horn is a family of cycles on the family of…
Gradient trajectories for plane singular metrics I: oscillating trajectories
Vincent Grandjean
We construct an example of a real plane analytic singular metric, degenerating only at the origin, such that any gradient trajectory (respectively to this singular metric) of some…
The exponential map at a cuspidal singularity
Vincent Grandjean, Daniel Grieser
We study spaces with a cuspidal (or horn-like) singularity embedded in a smooth Riemannian manifold and analyze the geodesics in these spaces which start at the singularity. This p…