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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…
math.AG2019
On strong exceptional collections of line bundles of maximal length on Fano toric Deligne-Mumford stacks
Lev Borisov, Chengxi Wang
We study strong exceptional collections of line bundles on Fano toric Deligne-Mumford stacks with rank of Picard group at most two. We prove that any strong…
math.AG2019
On trivial line bundles on toric DM stacks of dim
Lev Borisov, Chengxi Wang
We study line bundles on smooth toric DM stacks of arbitrary dimension. A sufficient condition is given for when infinitely many line bundles on $\mathbb{P}…