79 citations · 416 across the 46 of their papers we have counts for
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Special function identities from superelliptic Kummer varieties
Adrian Clingher, Charles F. Doran, Andreas Malmendier
We prove that the factorization of Appell's generalized hypergeometric series satisfying the so-called quadric property into a product of two Gauss' hypergeometric functions has a…
Calabi-Yau manifolds realizing symplectically rigid monodromy tuples
Charles F. Doran, Andreas Malmendier
We define an iterative construction that produces a family of elliptically fibered Calabi-Yau -folds with section from a family of elliptic Calabi-Yau varieties of one dimension…
Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces
Charles F. Doran, David Favero, Tyler L. Kelly
Given the same anti-canonical linear system on two distinct toric varieties, we provide a derived equivalence between partial crepant resolutions of the corresponding stacky hypers…
Toric Degenerations and the Laurent polynomials related to Givental's Landau-Ginzburg models
Andrew Harder, Charles F. Doran
For an appropriate class of Fano complete intersections in toric varieties, we prove that there is a concrete relationship between degenerations to specific toric subvarieties and…
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…