31 citations · 230 across the 65 of their papers we have counts for
5 papers · 1 filter
The Hirzebruch-Mumford volume for the orthogonal group and applications
Valery Gritsenko, Klaus Hulek, G. K. Sankaran
In this paper we derive an explicit formula for the Hirzebruch-Mumford volume of an indefinite lattice L of rank at least 3. If Γis an arithmetic subgroup of the group O(L) of isom…
Construction and examples of higher-dimensional modular Calabi-Yau manifolds
Slawomir Cynk, Klaus Hulek
We construct several examples of higher-dimensional Calabi-Yau manifolds and prove their modularity.
On the motive of Kummer varieties associated to - Supplement to the paper: The modularity of certain non-rigid Calabi-Yau threefolds (by R. Livné and N. Yui)
Klaus Hulek, Helena Verrill
In their paper Livné and Yui (math.AG/0304497) discuss several examples of non-rigid Calabi-Yau varieties which admit semi-stable K3-fibrations with 6 singular fibres over a base w…
Intersection theory of toroidal compactifications of A_4
Cord Erdenberger, Samuel Grushevsky, Klaus Hulek
We determine the intersection theory on the Igusa compactification and the second Voronoi compactification of A_4.
On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces
Klaus Hulek, Helena Verrill
We prove that (not necessarily rigid) Calabi-Yau threefolds defined over the rationals which contain sufficiently many elliptic ruled surfcaes are modular (under mild restrictions…