21 citations · 21 across the 2 of their papers we have counts for
5 papers
Real Line Arrangements and Surfaces with Many Real Nodes
Sonja Breske, Oliver Labs, Duco van Straten
A long standing question is if maximum number of nodes on a surface of degree in $\dP^3(\dC)$ can be achieved by a surface defined over the reals which has only real sin…
Monodromy calculatons of fourth order equations of Calabi-Yau type
Christian van Enckevort, Duco van Straten
This paper contains a preliminary study of the monodromy of certain fourth order differential equations, that were called of Calabi-Yau type in math.NT/0402386. Some of these equat…
The modularity of the Barth-Nieto quintic and its relatives
K. Hulek, J. Spandaw, B. van Geemen +1
The moduli space of (1,3)-polarized abelian surfaces with full level-2 structure is birational to a double cover of the Barth-Nieto quintic. Barth and Nieto have shown that these v…
Deformation of singular lagrangian subvarieties
Duco van Straten, Christian Sevenheck
We investigate deformations of lagrangian manifolds with singularities. We introduce a complex similar to the de Rham-complex whose cohomology calculates deformation spaces. Exampl…
The polyhedral Hodge number h^21 and vanishing of obstructions
Klaus Altmann, Duco van Straten
We prove a vanishing theorem for the Hodge number h^21 of projective toric varieties provided by a certain class of polytopes. We explain how this Hodge number also gives informati…