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- W3048837263 abstract "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 $X$ and $X'$, the following conditions are equivalent: (1) the upper triangular matrix associated to $X$ can be transformed into that of $X'$ by those three operations; (2) $X$ and $X'$ are diffeomorphic; (3) the integral cohomology rings of $X$ and $X'$ are isomorphic as graded rings. As a consequence, we affirmatively answer the cohomological rigidity problem for Fano Bott manifolds." @default.
- W3048837263 created "2020-08-18" @default.
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- W3048837263 date "2020-08-13" @default.
- W3048837263 modified "2023-10-16" @default.
- W3048837263 title "Cohomological rigidity for Fano Bott manifolds" @default.
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- W3048837263 doi "https://doi.org/10.48550/arxiv.2008.05811" @default.
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