论文标题
在Bogomolov型消失定理上
On a Bogomolov type vanishing theorem
论文作者
论文摘要
令$ x $为紧凑的kähler歧管，$（l，h）\ rightArrow x $是伪芬德线捆绑包，使得曲率$iθ_{l，h} \ geq 0 $从潮流的意义上。本文的主要结果是$ h^n（x，x，\ mathcal {o}（ω^p_x \ otimes l）\ otimes \ mathcal {i}（h））= 0 $ for $ p \ geq n-nd（l，h）+1 $。这是Bogomolov的消失定理的概括。
Let $X$ be a compact Kähler manifold and $(L,h)\rightarrow X$ be a pseudoeffective line bundle, such that the curvature $iΘ_{L,h}\geq 0$ in the sense of currents. The main result of the present paper is that $H^n(X,\mathcal{O}(Ω^p_X\otimes L)\otimes \mathcal{I}(h))=0$ for $p\geq n-nd(L,h)+1$. This is a generalization of Bogomolov's vanishing theorem.
