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arXiv · 2207.00480

On the global generation of higher direct images of pluricanonical bundles

Jixiang Fu·Jingcao Wu
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Abstract

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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Jixiang Fu, Jingcao Wu. 2022-07-01. On the global generation of higher direct images of pluricanonical bundles. https://arxiv.org/abs/2207.00480

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