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Poincare series and zeta function for an irreducible plane curve singularity
Jan Stevens
The Poincare series of an irreducible plane curve singularity equals the zeta function of its monodromy, by a result of Campillo, Delgado and Gusein-Zade. We derive this fact from…
Sextic surfaces with ten triple points
Jan Stevens
All families of sextic surfaces with the maximal number of isolated triple points are found.
Higher cotangent cohomology of rational surface singularities
Jan Stevens
The cotangent cohomology groups T^1 and T^2 play an important role in deformation theory, the first as space of infinitesimal deformations, while the obstructions land in the secon…
Semistable K3-surfaces with icosahedral symmetry
Jan Stevens
In a Type III degeneration of K3-surfaces the dual graph of the central fibre is a triangulation of the 2-sphere. We realise the tetrahedral, octahedral and especially the icosahed…
Surfaces with triple points
Stephan Endraß, Ulf Persson, Jan Stevens
In this paper we compute upper bounds for the number of ordinary triple points on a hypersurface in and give a complete classification for degree six (degree four or less is…
Rolling Factors Deformations and Extensions of Canonical Curves
Jan Stevens
A tetragonal canonical curve is the complete intersection of two divisors on a scroll. The equations can be written in `rolling factors' format. For such homogeneous ideals we give…