论文标题

关于全球较高直接图像的多束束

On the global generation of higher direct images of pluricanonical bundles

论文作者

Fu, Jixiang, Wu, Jingcao

论文摘要

Given a fibration $f$ between two projective manifolds $X$ and $Y$, we discuss the effective generation of the higher direct images $R^{i}f_{\ast}(K^{m}_{X})$, where $K^{m}_{X}$ is the $m$-th tensor power of the canonical bundle of $X$.特别是,我们回答了[PS14]中Popa-Schnell提出的两个问题。

Given a fibration $f$ between two projective manifolds $X$ and $Y$, we discuss the effective generation of the higher direct images $R^{i}f_{\ast}(K^{m}_{X})$, where $K^{m}_{X}$ is the $m$-th tensor power of the canonical bundle of $X$. In particular, we answer two questions posed by Popa--Schnell in [PS14].

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