AI 中文总结
本文证明,b₂=3且带有两个不同奇异全纯叶状结构的极小紧复VII类曲面,必含全局球壳且为Inoue-Hirzebruch曲面,其证明依托Teleman的相关定理及Dloussky的结果,受Brunella工作启发。
AI 中文摘要
设S为b₂(S)=3的极小紧复VII类曲面,我们证明若S带有两个不同的奇异全纯叶状结构,则S包含全局球壳,且为Inoue-Hirzebruch曲面。该证明基于Teleman关于有理曲线环存在性的定理及Dloussky的结果,灵感来自Brunella的工作。
英文摘要
Let $S$ be a minimal compact complex surface of class VII with $b_2(S)=3$. We prove that if $S$ carries two distinct singular holomorphic foliations, then $S$ contains a global spherical shell. Moreover, it is an Inoue-Hirzebruch surface. The proof is based on Teleman's theorem on the existence of a cycle of rational curves and results of Dloussky and is inspired by work of Brunella.
Comments25 pages