2018-05-22  04:50 hrs.

### Choking horns in Lipschitz Geometry of Complex Algebraic Varieties

#### Alexandre FernandesUniversidad de Sao Paulo

A Choking horn is a family of cycles on the family of the sections of an algebraic variety by very small spheres centered at a singular point, such that the cycles cannot be boundaries of nearby chains. The presence of choking horns is an obstruction to metric conicalness as we can see with some classical isolated hypersurfaces singularities which we prove are not metrically conic. We also show that there exist infinitely countably many singular varieties, which are locally homeomorphic, but not locally bi-Lipschitz equivalent with respect to the inner metric.

#### Palapa Nueva -- Lunes 12 de noviembre de 2012, 16:00 horas

Unidad Cuernavaca del Instituto de Matemáticas UNAM