35 citations · 166 across the 37 of their papers we have counts for
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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…
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,…
Vector bundles and torsion free sheaves on degenerations of elliptic curves
Lesya Bodnarchuk, Igor Burban, Yuriy Drozd +1
In this paper we give a survey about the classification of vector bundles and torsion free sheaves on degenerations of elliptic curves. Coherent sheaves on singular curves of arith…
The Ernst equation and ergosurfaces
Piotr T. Chrusciel, Gert-Martin Greuel, Reinhard Meinel +1
We show that analytic solutions $\mcE$ of the Ernst equation with non-empty zero-level-set of $\Re \mcE$ lead to smooth ergosurfaces in space-time. In fact, the space-time metric i…