法诺波特流形上的独特环状结构

Pub Date : 2020-05-06 DOI:10.4310/jsg.2023.v21.n3.a1

Yunhyung Cho, Eunjeong Lee, M. Masuda, Seonjeong Park

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引用次数: 9

摘要

我们证明，如果两个法诺波特流形的积分同调环之间存在一个$c_1$保级的分级环同构，那么它们作为环状变体是同构的。因此，我们给出了麦克达夫关于法诺波特流形上环状结构唯一性问题的肯定答案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unique toric structure on a Fano Bott manifold

We prove that if there exists a $c_1$-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.

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