On the global generation of higher direct images of pluricanonical bundles
| Autor: | Fu, Jixiang, Wu, Jingcao |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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]. Comment: 12 pages, comments are welcome! |
| Databáze: | arXiv |
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