论文标题
Fano Botts的同时刚性
Cohomological rigidity for Fano Bott manifolds
论文作者
论文摘要
在本文中，我们将Fano Bott歧管表征为矩阵上的三个操作，以达到差异性。更确切地说，我们证明，给定两个fano bott $ x $和$ x'$，以下条件等效：（1）与$ x $相关的上三角矩阵可以通过这三个操作转换为$ x'的$ x'； （2）$ x $和$ x'$是差异的； （3）$ x $和$ x'$的积分共同体戒指作为分级环是同构的。结果，我们肯定地回答了Fano Bocts的共同学刚性问题。
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.
