Moduli for stable marked trees of projective lines.
Moduli of Germs of Legendrian Curves
We construct the generic component of the moduli space of the germs of Legendrian curves with generic plane projection topologically equivalent to a curve .
Moduli Spaces for Hopf Surfaces.
Moduli spaces of covers and the Hurwitz monodromy group.
Moduli stacks of polarized K3 surfaces in mixed characteristic
2000 Mathematics Subject Classification: 14J28, 14D22.In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas of Grothendieck, Deligne,...
Modulräume stabiler Vektorraumbündel vom Rang 2 auf rationalen Regelflächen.