Note on quasi-polarized canonical Calabi–Yau threefolds
Let $(X,L)$ be a quasi-polarized canonical Calabi–Yau threefold. In this note, we show that $\vert mL\vert $ is basepoint free for $m\ge 4$. Moreover, if the morphism $\Phi _{\vert 4L\vert }$ is not birational onto its image and $h^0(X,L)\ge 2$, then $L^3=1$. As an application, if $Y$ is an $n$-dime...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-07-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.55/ |