Central charges in local mirror symmetry via hypergeometric duality
Algebraic Geometry
2025-08-29 v3
Abstract
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. We show that the integral structures of A-branes and B-branes coincide. This confirms a local version of a conjecture of Hosono and can be seen as a generalization of the Gamma conjecture for local mirror symmetry.
Keywords
Cite
@article{arxiv.2404.16258,
title = {Central charges in local mirror symmetry via hypergeometric duality},
author = {Zengrui Han},
journal= {arXiv preprint arXiv:2404.16258},
year = {2025}
}
Comments
35 pages. Accepted version, to appear in Advances in Mathematics