论文标题
UEDA的引理通过统一的Hörmander估算平面束
Ueda's lemma via uniform Hörmander estimates for flat line bundles
论文作者
论文摘要
我们为$ \ overline {\ partial} $ - 运算符建立hörmander-type $ l^2 $ - 估计，这些操作员均匀地容纳了紧凑型kähler歧管上所有非平凡的扁平全体形态捆绑包。我们的结果可以被视为$ \叠加{\ partial} $ - UEDA的引理的版本，该章节在Čechcoboundaries的操作员规范上用于扁平线捆绑包，并且确实恢复了UEDA的原始版本，用于紧凑型Kähler歧管。还给出了$（p，0）$ - ricci-flat歧管上的部分概括。
We establish Hörmander-type $L^2$-estimates for the $\overline{\partial}$-operators that hold uniformly for all nontrivial flat holomorphic line bundles on compact Kähler manifolds. Our result can be regarded as a $\overline{\partial}$-version of Ueda's lemma on the operator norm of Čech coboundaries for flat line bundles and indeed recovers the original version of Ueda's lemma for compact Kähler manifolds. A partial generalisation for $(p,0)$-forms on Ricci-flat manifolds is also given.
