Smoothness of equisingular families of curves

Geometry of Equisingular Families of Curves

New Asymptotics in the Geometry of Equisingular Families of Curves

Geometry of Obstructed Equisingular Families of Algebraic Curves and Hypersurfaces

One of the main achievements of the algebraic geometry of the 20th century was to realize that it is fruitful not only to study algebraic varieties by themselves but also in families. That means that one should consider the space classifying all varieties with given properties. These spaces are called moduli spaces. The advantage of algebraic geometry is that many times those spaces are themsel...

Equisingular Families of Plane Curves with Many Connected Components

We present examples of equisingular families of complex projective plane curves with plural connected components that are not distinguished by the fundamental group of the complement.

Equianalytic and equisingular families of curves on surfaces