Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system

@article{Horja2012ToricDS,
  title={Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system},
  author={Richard Paul Horja},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}
  • R. P. Horja
  • Published 30 April 2012
  • Mathematics
  • arXiv: Algebraic Geometry
We generalize the combinatorial description of the orbifold (Chen--Ruan) cohomology and of the Grothendieck ring of a Deligne--Mumford toric stack and its associated stacky fan in a lattice $N$ in the presence of a deformation parameter $\beta \in N \otimes {\mathbb C}.$ As an application, we construct a topological mirror symmetry map that produces a complete system of $\Gamma$--series solutions to the better behaved version of the GKZ hypergeometric system for $\beta \in N \otimes {\mathbb C… 
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Applications of homological mirror symmetry to hypergeometric systems: duality conjectures

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Horja, On the better behaved version of the GKZ hypergeometric system, preprint
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