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math.AT2020★ 3 cited
Cohomological rigidity for Fano Bott manifolds
Akihiro Higashitani, Kazuki Kurimoto
In the present paper, we characterize Fano Bott manifolds up to diffeomorphism in terms of three operations on matrix. More precisely, we prove that given two Fano Bott manifolds $…
math.AT2020★ 4 cited
Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers
Akihiro Higashitani, Kazuki Kurimoto, Mikiya Masuda
The cohomological rigidity problem for toric manifolds asks whether toric manifolds are diffeomorphic (or homeomorphic) if their integral cohomology rings are isomorphic. Many affi…