16 citations · 60 across the 8 of their papers we have counts for
8 papers
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…
Closed form expressions for Hodge numbers of complete intersection Calabi-Yau threefolds in toric varieties
Charles F. Doran, Andrey Y. Novoseltsev
We use Batyrev-Borisov's formula for the generating function of stringy Hodge numbers of Calabi-Yau varieties realized as complete intersections in toric varieties in order to get…
Spectral Geometry of Riemannian Submanifolds
Andrey Novoseltsev
In this thesis we study the geometry of the fixed point set of a smooth mapping on a smooth compact Riemannian manifold without boundary by computing the asympt…