activity
20192025
most citedOn Hypergeometric Duality Conjecture

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.AG2025

Hanlon-Hicks-Lazarev resolution revisited

Lev Borisov, Zengrui Han

Hanlon, Hicks and Lazarev constructed resolutions of structure sheaves of toric substacks by certain line bundles on the ambient toric stacks. In this paper, we give a new and subs…

math.AG2024

Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality

Zengrui Han

We study the stringy Hodge numbers of Pfaffian double mirrors, generalizing previous results of Borisov and Libgober. In the even-dimensional cases, we introduce a modified version…

math.AG2024

Central charges in local mirror symmetry via hypergeometric duality

Zengrui Han

We apply the better-behaved GKZ hypergeometric systems to study toric Calabi-Yau Deligne-Mumford stacks and their Hori-Vafa mirrors given by affine hypersurfaces in algebraic tori.…

math.AG2023★ 1 cited

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms

Zengrui Han

We study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the …

math.AG2023★ 2 cited

On Hypergeometric Duality Conjecture

Lev Borisov, Zengrui Han

We give an explicit formula for the duality, previously conjectured by Horja and Borisov, of two systems of GKZ hypergeometric PDEs. We prove that in the appropriate limit this dua…

math.AG2019

On duality of certain GKZ hypergeometric systems

Lev Borisov, Zengrui Han, Chengxi Wang

We study a pair of conjectures on better behaved GKZ hypergeometric systems of PDEs inspired by Homological mirror symmetry for crepant resolutions of Gorenstein toric singularitie…