Commun. Korean Math. Soc. 2010; 25(2): 161-165
Printed June 1, 2010
https://doi.org/10.4134/CKMS.2010.25.2.161
Copyright © The Korean Mathematical Society.
Dong-Khan Shin
Konkuk University
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 $\frac{1}{r}(1,-1,b)$ is sufficiently large.
Keywords: pluricanonical system, plurigenus, threefold of general type
MSC numbers: 14E05, 14J99
2012; 27(1): 37-46
2003; 18(4): 603-613
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd