English

On a conjecture of Huang--Lian--Yau--Yu

Algebraic Geometry 2023-02-17 v2

Abstract

We verify a formula on the solution rank of the tautological system arising from ample complete intersections in a projective homogeneous space of a semisimple group conjectured by Huang--Lian--Yau--Yu arXiv:1801.01194. As an application, we prove the existence of the rank one point for such a system, where mirror symmetry is expected.

Keywords

Cite

@article{arxiv.2005.00676,
  title  = {On a conjecture of Huang--Lian--Yau--Yu},
  author = {Tsung-Ju Lee and Bong Lian and Dingxin Zhang},
  journal= {arXiv preprint arXiv:2005.00676},
  year   = {2023}
}

Comments

9 pages. Comments are welcome. In this version, we fix some typos and an issue in our earlier proof