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arxiv: math/9901031 · v1 · pith:F2HVK4SCnew · submitted 1999-01-07 · 🧮 math.AG

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

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keywords beenbiggerbirationalcanonicalcasescombinationcomplexcounter
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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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