スレタイ 箱入り無数目を語る部屋24

上の定理は最近publishされた次の結果を実質的に含んでいる。

\begin{theorem}{\rm (cf. [Oh-18])} Let $M$ be a projective algebraic manifold of dimension $n$ and let $D$ be an effective divisor on $M$. If the normal bundle of $D$ is semipositive, then $H^{p,q}_{alg}(M\setminus|D|,L)=0$ holds for $p+q>n$. Here $|D|$ denotes the support of $D$ and $H_{alg}^{p,q}$ denotes the algebraic cohomology of type $(p,q)$. \end{theorem}