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The generic finiteness of the \(m\)-canonical map for 3-folds of general type. (English) Zbl 1092.14049

Let \(X\) be a projective minimal 3-fold of general type with only \(\mathbb{Q}\)-factorial terminal singularities. The author shows that if \(P_g(X)\geq 5\), then the \(3\)-canonical map is generically finite and if \(P_g(X)\geq 2\) and \(q(X)\geq 3\) then the \(m\)-canonical map is generically finite for \(m\geq 3\).

MSC:

14J30 \(3\)-folds
14E05 Rational and birational maps
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