16 citations · 60 across the 8 of their papers we have counts for
6 papers · 1 filter
Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces
Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev +1
We study threefolds fibred by K3 surfaces admitting a lattice polarization by a certain class of rank 19 lattices. We begin by showing that any family of such K3 surfaces is comple…
Calabi-Yau Threefolds Fibred by Kummer Surfaces Associated to Products of Elliptic Curves
Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev +1
We study threefolds fibred by Kummer surfaces associated to products of elliptic curves, that arise as resolved quotients of threefolds fibred by certain lattice polarized K3 surfa…
Calabi-Yau Threefolds Fibred by Mirror Quartic K3 Surfaces
Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev +1
We study threefolds fibred by mirror quartic K3 surfaces. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to t…
Families of lattice polarized K3 surfaces with monodromy
Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev +1
We extend the notion of lattice polarization for K3 surfaces to families over a (not necessarily simply connected) base, in a way that gives control over the action of monodromy on…
The 14th case VHS via K3 fibrations
Adrian Clingher, Charles F. Doran, Jacob Lewis +2
We present a study of certain singular one-parameter subfamilies of Calabi-Yau threefolds realized as anticanonical hypersurfaces or complete intersections in toric varieties. Our…
Short Tops and Semistable Degenerations
Ryan Davis, Charles Doran, Adam Gewiss +4
One may construct a large class of Calabi-Yau varieties by taking anticanonical hypersurfaces in toric varieties obtained from reflexive polytopes. If the intersection of a reflexi…