English

Unique toric structure on a Fano Bott manifold

Symplectic Geometry 2020-05-07 v1 Algebraic Geometry

Abstract

We prove that if there exists a c1c_1-preserving graded ring isomorphism between integral cohomology rings of two Fano Bott manifolds, then they are isomorphic as toric varieties. As a consequence, we give an affirmative answer to McDuff's question on the uniqueness of a toric structure on a Fano Bott manifold.

Keywords

Cite

@article{arxiv.2005.02740,
  title  = {Unique toric structure on a Fano Bott manifold},
  author = {Yunhyung Cho and Eunjeong Lee and Mikiya Masuda and Seonjeong Park},
  journal= {arXiv preprint arXiv:2005.02740},
  year   = {2020}
}

Comments

16 pages, No figure

R2 v1 2026-06-23T15:20:55.159Z