Asian Journal of Mathematics
Volume 22 (2018)
Special issue in honor of Ngaiming Mok (1 of 3)
Guest Editors: Jun-Muk Hwang, Korea Institute for Advanced Study; Yum-Tong Siu, Harvard University; Wing-Keung To, National University of Singapore; Stephen S.-T. Yau, Tsinghua University; Sai-Kee Yeung, Purdue University
On the canonical maps of nonsingular threefolds of general type
Pages: 299 – 306
Let $S$ be a nonsingular minimal complex projective surface of general type and the canonical map of $S$ is generically finite. Beauville showed that the geometric genus of the image of the canonical map is vanishing or equals the geometric genus of $S$ and discussed the canonical degrees for these two cases. We generalize his results to nonsingular minimal complex projective threefolds.
projective threefold, general type, canonical map, canonical degrees
2010 Mathematics Subject Classification
The author’s research was sponsored by the National Natural Science Foundation of China (Grant No. 11471116, 11531007) and the Science and Technology Commission of Shanghai Municipality (Grant No. 18dz2271000).
Received 19 December 2016
Accepted 21 June 2017
Published 15 June 2018