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math.AG2006
Equisingular Deformations of Plane Curves in Arbitrary Characteristic
Antonio Campillo, Gert-Martin Greuel, Christoph Lossen
In this paper we develop the theory of equisingular deformations of plane curve singularities in arbitrary characteristic. We study equisingular deformations of the parametrization…
math.AG2006
Equisingular Families of Projective Curves
Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
In this survey, we report on progress concerning families of projective curves with fixed number and fixed (topological or analytic) types of singularities. We are, in particular,…
math.AG1999
Castelnuovo function, zero-dimensional schemes and singular plane curves
Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
We study families V of curves in P^2 of degree d having exactly r singular points of given topological or analytic types. We derive new sufficient conditions for V to be T-smooth (…