English

Exponential concentration for quantum periods via mirror symmetry

Algebraic Geometry 2026-05-18 v1

Abstract

We investigate power series satisfying the exponential concentration property, and show that suitable modifications of hypergeometric series respect this property. As a geometric application, we prove that the quantum period of a Fano manifold possesses the same property, whenever the manifold admits a convenient weak Landau-Ginzburg model with non-negative coefficients.

Keywords

Cite

@article{arxiv.2605.16051,
  title  = {Exponential concentration for quantum periods via mirror symmetry},
  author = {Jingwei Lu and Hua-Zhong Ke and Jianxun Hu},
  journal= {arXiv preprint arXiv:2605.16051},
  year   = {2026}
}

Comments

19 pages. Comments are welcome!