Lau, Siu-CheongZheng, Xiao2021-02-122021-02-122020-02Siu-Cheong Lau, Xiao Zheng. 2020. "SYZ Mirror Symmetry for Hypertoric Varieties." Communications in Mathematical Physics, Volume 373, Issue 3, pp. 1133 - 1166. https://doi.org/10.1007/s00220-019-03535-z0010-36161432-0916https://hdl.handle.net/2144/42035We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using T-duality and generating functions of open Gromov–Witten invariants. The variety is singular in general. We construct a resolution of the variety using the wall and chamber structure on the base of the SYZ fibration.p. 1133 - 1166en-USMathematical physicsPure mathematicsQuantum physicsArticle10.1007/s00220-019-03535-z526540