44 citations · 54 across the 5 of their papers we have counts for
5 papers
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…
On a family of K3 surfaces with symmetry
Dagan Karp, Jacob Lewis, Daniel Moore +2
The largest group which occurs as the rotational symmetries of a three-dimensional reflexive polytope is the symmetric group on four elements. There are three pairs of three-dimens…
Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models
Nathan Owen Ilten, Jacob Lewis, Victor Przyjalkowski
We show that every rank one smooth Fano threefold has a weak Landau-Ginzburg model coming from a toric degeneration. The fibers of these Landau-Ginzburg models can be compactified…
Normal Forms, K3 Surface Moduli, and Modular Parametrizations
A. Clingher, C. F. Doran, J. Lewis +1
The geometric objects of study in this paper are K3 surfaces which admit a polarization by the unique even unimodular lattice of signature (1,17). A standard Hodge-theoretic observ…
Exceptional regions and associated exceptional hyperbolic 3-manifolds
Abhijit Champanerkar, Jacob Lewis, Max Lipyanskiy +2
A closed hyperbolic 3-manifold is exceptional if its shortest geodesic does not have an embedded tube of radius . D. Gabai, R. Meyerhoff and N. Thurston identified seven…