Even though there is a formula for $h^0(X,{mathcal O}_X(nK_X))$ for a canonical threefold $X$, it is not easy to compute $h^0(X,{mathcal O}_X(nK_X))$ because the formula has a term due to singularities. In this paper, we find a way to control the term due to singularities. We show nonvanishing of plurigenus for the case when the index $r$ in the singularity type $rac{1}{r}(1,-1,b)$ is sufficiently large.
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机译：即使对于三元正则$ X $有一个$ h ^ 0（X，{ mathcal O} _X（nK_X））$的公式，要计算$ h ^ 0（X，{ mathcal O } _X（nK_X））$，因为公式由于奇异性而具有项。在本文中，我们找到了一种控制奇异项的方法。对于奇异类型$ frac {1} {r}（1，-1，b）$中的索引$ r $足够大的情况，我们显示了多足动物的消失。
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