35 citations · 166 across the 37 of their papers we have counts for
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Plane curves of minimal degree with prescribed singularities
Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
We prove that there exists a>0 such that for any integer d>2 and any topological types S_1,...,S_n of plane curve singularities, satisfying , there exi…
Semicontinuity for representations of one-dimensional Cohen-Macaulay rings
Y. A. Drozd, G. -M. Greuel
We show that the number of parameters for CM-modules of prescribed rank is semi-continuous in families of CM rings of Krull dimension 1. This transfers a result of Knoerrer from th…
Geometry of families of nodal curves on rational surfaces
Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin
Let P^2_r be the projective plane blown up at r generic points. Denote by E_0,E_1,...,E_r the strict transform of a generic straight line on P^2 and the exceptional divisors of the…
Equianalytic and equisingular families of curves on surfaces
Gert-Martin Greuel, Christoph Lossen
We consider flat families of reduced curves on a smooth surface S such that each member C has the same number of singularities of fixed singularity types and the corresponding (loc…