21 citations · 22 across the 3 of their papers we have counts for
3 papers
math.AG2007
Local Lipschitz geometry of weighted homogeneous surfaces
Lev Birbrair, Alexandre Fernandes
We compute Hoelder Complexes,i.e. the complete bi-Lipschitz invariants, for germs of real weighed homogeneous algebraic or semialgebraic surfaces.
math.AG2007★ 1 cited
Inner Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities
Lev Birbrair, Alexandre Fernandes
We produce examples of complex algebraic surfaces with isolated singularities such that these singularities are not metrically conic, i.e. the germs of the surfaces near singular p…
math.AG2007★ 21 cited
Bi-Lipschitz geometry of weighted homogeneous surface singularities
Lev Birbrair, Alexandre Fernandes, Walter D. Neumann
We show that a weighted homogeneous complex surface singularity is metrically conical (i.e., bi-Lipschitz equivalent to a metric cone) only if its two lowest weights are equal. We…