6 citations · 9 across the 7 of their papers we have counts for
7 papers
Reducible Families of Curves with Ordinary Multiple Points on Surfaces in Projective Three-Space
Thomas Keilen
In math.AG/0108089, math.AG/0212090 and math.AG/0308247 we gave numerical conditions which ensure that an equisingular family is irreducible respectively T-smooth. Combining result…
A new Invariant for Plane Curve Singularities
Thomas Keilen, Christoph Lossen
Greuel, Lossen and Shustin gave a general sufficient numerical condition for the T-smoothness (smoothness and expected dimension) of equisingular families of plane curves. This con…
Injective Analytic Maps - A Counterexample to the Proof
Thomas Keilen, David Mond
In Duke Math. J. 69, No.2, 335-347 (1993) the author translates a conjecture of Le Dung Trang on the non-existence of injective analytic maps f:(C^n,0)->(C^{n+1},0) with df(0)=0 in…
Smoothness of Equisingular Families of Curves
Thomas Keilen
Francesco Severi showed that equisingular families of plane nodal curves are T-smooth, i.e. smooth of the expected dimension, whenever they are non-empty. For families with more co…
Irreducibility of Equisingular Families of Curves - Improved Conditions
Thomas Keilen
In math.AG/0108089 we gave sufficient conditions for the irreducibility of the family V of irreducible curves in the linear system |D| with precisely r singular points of topologic…
Irreducibility of Equisingular Families of Curves
Thomas Keilen
In 1985 Joe Harris proved the long standing claim of Severi that equisingular families of nodal plane curves are irreducible whenever they are non-empty. For families with more com…