18 citations · 37 across the 6 of their papers we have counts for
6 papers
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…
Restricting linear syzygies: algebra and geometry
David Eisenbud, Mark Green, Klaus Hulek +1
In this paper we derive geometric consequences from the presence of a long strand of linear syzygies in the minimal free resolution of a closed scheme in projective space whose hom…
Small schemes and varieties of minimal degree
David Eisenbud, Mark Green, Klaus Hulek +1
We prove that if X is any 2-regular projective scheme (in the sense of Castelnuovo-Mumford) then X is "small". This means that if L is a linear space and Y:= L\cap X is finite, the…