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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.AG2000
Computer Algebra and Algebraic Geometry - Achievements and Perspectives
Gert-Martin Greuel
In this survey I should like to introduce some concepts of algebraic geometry and try to demonstrate the fruitful interaction between algebraic geometry and computer algebra and, m…
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 (…