论文标题
Kollár的包裹旋转saito的S-Sheaves
Kollár's Package for Twisted Saito's S-sheaves
论文作者
论文摘要
我们将Kollár的猜想（包括扭转烦恼，注射率定理，消失定理和分解定理）概括为Saito的$ s $ sheaeves twess，twist被$ \ mathbb {q} $ - divisor扭曲。这为复杂几何形状的不同主题提供了各种Kollár包装的统一处理。结果，我们证明了Kollár的包装包装，这些捆绑包包由某些乘数理想的捆绑包扭曲。本文的方法为$ l^2 $ - 理论。
We generalize Kollár's conjecture (including torsion freeness, injectivity theorem, vanishing theorem and decomposition theorem) to Saito's $S$-sheaves twisted by a $\mathbb{Q}$-divisor. This gives a uniform treatment for various kinds of Kollár's package in different topics in complex geometry. As a consequence we prove Kollár's package of pluricanonical bundles twisted by a certain multiplier ideal sheaf. The method of the present paper is $L^2$-theoretic.
