Unique toric structure on a Fano Bott manifold

2020/05/06 by Yunhyung Cho, Eunjeong Lee, Cho, Yunhyung +5
Mathematics · #14J45 #14M25 #53D05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2005.02740

openalex publication_date 2020/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that if there exists a c₁-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.

Related

• Cohomological rigidity for Fano Bott manifolds
• Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers
• c₁-cohomological rigidity for smooth toric Fano varieties of Picard number two
• Strong Cohomological rigidity of Bott manifolds
• Classification of real Bott manifolds