21 citations · 60 across the 9 of their papers we have counts for
17 papers · 1 filter
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…
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…
Geometric syzygies of elliptic normal curves and their secant varieties
Hans-Christian v. Bothmer, Klaus Hulek
We show that the linear syzygy spaces of elliptic normal curves, their secant varieties and of bielliptic canonical curves are spanned by geometric syzygies.