English

On Galkin's Lower Bound Conjecture

Algebraic Geometry 2024-05-28 v1

Abstract

We estimate an upper bound of the spectral radius of a linear operator on the quantum cohomology of the toric Fano manifolds PPn(OO(3))\mathbb{P}_{\mathbb{P}^{n}}(\mathcal{O}\oplus\mathcal{O}(3)). This provides a negative answer to Galkin's lower bound conjecture.

Keywords

Cite

@article{arxiv.2405.16987,
  title  = {On Galkin's Lower Bound Conjecture},
  author = {Jianxun Hu and Huazhong Ke and Changzheng Li and Zhitong Su},
  journal= {arXiv preprint arXiv:2405.16987},
  year   = {2024}
}

Comments

6 pages

R2 v1 2026-06-28T16:41:39.825Z