Kawamata-Viehweg vanishing and quint-canonical map of a Complex threefold

Details Kawamata-Viehweg vanishing and quint-canonical map of a Complex threefold Kawamata-Viehweg vanishing and quint-canonical map of a Complex threefold

1999-01-07

arxiv.org/abs/math/9901031v1

Comm. Algebra 27(1999), no.11, 5471-5486

Mathematics

Algebraic Geometry

15 pages, Amstex, to appear in Communications in Algebra(1999)

Scientific paper

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.

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