Kawamata-Viehweg vanishing and quint-canonical map of a Complex threefold
arXiv:math/9901031
Abstract
This paper proves that the 5-canonical map of a smooth minimal 3-fold is birational when the geometric genus is bigger than 2. A combination of the results in this paper and that of Ein-Lazarsfeld-Lee, the possible exceptional cases are very limited. Unfortunately, no counter examples have been found up to now.
15 pages, Amstex, to appear in Communications in Algebra(1999)