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9 papers · 1 filter
Triple-Point Defective Surfaces
Luca Chiantini, Thomas Markwig
In this paper we study the linear series of hyperplane sections with a triple point on a surface embedded via a very ample line bundle for a \emph{general} poi…
The one-dimensional stratum in the boundary of the moduli stack of stable curves
Joerg Zintl
The moduli stack of Deligne-Mumford stable curves of genus g admits a stratification, so that the number of nodes of the curves belonging to one stratum is constant. The irreducibl…
The j-invariant of a plane tropical cubic
Eric Katz, Hannah Markwig, Thomas Markwig
Several results in tropical geometry have related the j-invariant of an algebraic plane curve of genus one to the cycle length of a tropical curve of genus one. In this paper, we p…
Intersecting Psi-classes on tropical M_{0,n}
Michael Kerber, Hannah Markwig
We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical cur…
On deformations of maps and curve singularities
G. -M. Greuel, Cong Trinh Le
We study several deformation functors associated to the normalization of a reduced curve singularity $(X,0) \subset (\c^n,0)$. The main new results are explicit formulas, in terms…
Triple-Point Defective Ruled Surfaces
Luca Chiantini, Thomas Markwig
In arXive:0705.3912 we studied triple-point defective very ample linear systems on regular surfaces, and we showed that they can only exist if the surface is ruled. In the present…